137 in Roman Numerals
2026-02-21 20:36 Diff
https://brightchamps.com/en-us/math/numbers/137-in-roman-numerals

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Last updated on August 5, 2025

Roman numerals are a way of expressing numbers using symbols. The symbols used in Roman numerals include I, V, X, L, C, D, and M. Roman numerals are often used in royal titles, book names, sequences, and more. Here we will be discussing Roman numerals, rules, and examples.

What is 137 in Roman Numerals?

Have you ever noticed the numerals used in royal titles like Henry VIII or Elizabeth II and wondered what these symbols represent? Those are Roman numerals. In ancient times, people used fingers, sticks, bones, etc., to count. As life became more complex, a standardized form was required for counting. The ancient Romans developed the Roman numeral system for this purpose. The symbols used include I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).

In Roman numerals, we use CXXXVII to represent 137, where C is 100, X is 10, and VII is 7. Let’s learn more about Roman numerals and how we write them.

Basic Rules for 137 in Roman Numerals

There are certain basic rules to write a number in Roman numerals. In this section, let’s discuss some basic rules that need to be remembered when writing a number in Roman numerals.

Rule 1: Addition Method

The addition method is used when the smaller number is placed after the larger number. For example, in CXXXVII → C + XXX + VII → 100 + 30 + 7 = 137.

Rule 2: Repetition Method

To write a larger number, certain Roman numerals can be repeated up to three times. For example, XXX → 30 (X is repeated three times).

Rule 3: Subtraction Method

If a small number is placed before a larger number in Roman numerals, it is subtracted from the larger number. For example, IX → X - I → 10 - 1 = 9.

Rule 4: Limitation Rule

Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For instance, we do not write VV for 10; instead, we use X.

How to Write 137 in Roman Numerals

Let’s now learn how to write 137 in Roman numerals. Follow these methods to write the number in Roman numerals.

  • By Expansion Method
  • By Grouping Method

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137 in Roman Numerals by Expansion Method

In the expansion method, based on place value, the number is broken down. Here we will learn how to write 137 in Roman numerals using the expansion method.

To write 137 in Roman numerals, follow these steps:

Step 1: Break the number based on place value. For 137, we write it as 100 + 30 + 7.

Step 2: Convert each part into Roman numerals:

100 in Roman numerals is C.

30 in Roman numerals is XXX.

7 in Roman numerals is VII.

Step 3: Combine the Roman numerals:

Therefore, 137 in Roman numerals is C (100) + XXX (30) + VII (7) = CXXXVII.

137 in Roman Numerals by Grouping Method

When writing a larger number in Roman numerals, we group the number. For 137, we group it as 100 + 30 + 7:

100 in Roman Numerals is C.

30 in Roman Numerals is XXX.

7 in Roman Numerals is VII.

Thus, 137 is written as CXXXVII in Roman numerals.

Common Mistakes and How to Avoid Them in 137 Roman Numerals

Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.

Problem 1

Convert CXXXVII into Arabic numerals and find its square.

Okay, lets begin

The square of CXXXVII is 18769.
 

Explanation

CXXXVII represents 137 in Arabic numerals.  


To find its square, calculate 137 × 137 = 18769.
 

Well explained 👍

Problem 2

A historian discovered a manuscript with CXXXVII pages, distributed evenly over XIX chapters. How many pages does each chapter contain?

Okay, lets begin

Each chapter contains VII pages.
 

Explanation

To find the number of pages per chapter, divide the total number of pages by the number of chapters:  


CXXXVII / XIX  


CXXXVII = 137, XIX = 19  


137 / 19 = 7  


7 in Roman numerals is VII.

Well explained 👍

Problem 3

The sum of two Roman numerals is CXXXVII. If one numeral is LXXXVII, what is the other numeral?

Okay, lets begin

The other numeral is L.
 

Explanation

Let the unknown numeral be X.  


X + LXXXVII = CXXXVII  


Convert the numerals to Arabic:  


X + 87 = 137  


X = 137  87 = 50  


50 in Roman numerals is L.

Well explained 👍

Problem 4

A collector has a set of coins labeled XIII and another set labeled CXXIV. What is the total number of coins if the labels indicate their respective quantities?

Okay, lets begin

The total number of coins is CXXXVII.
 

Explanation

Convert the Roman numerals to Arabic and add them:  


XIII = 13  


CXXIV = 124  


13 + 124 = 137  


137 in Roman numerals is CXXXVII.

Well explained 👍

Problem 5

Express the result of multiplying XVII by VIII in Roman numerals.

Okay, lets begin

The product is CXXXVI.
 

Explanation

Convert the Roman numerals to Arabic and multiply:

 
XVII = 17  


VIII = 8  


17 × 8 = 136  


136 in Roman numerals is CXXXVI.

Well explained 👍

FAQs on 137 in Roman Numerals

1.What is 9 in Roman numerals?

IX is 9, as the smaller numeral follows the larger one using the subtraction method. That is X  I, which is 10  1 = 9.

2.How do you write 137 in Roman numerals?

The larger numbers are followed by smaller ones, so we use the addition method. That is C (100) + XXX (30) + VII (7) = 137. So, CXXXVII is 137.

3.What is 139 in Roman numerals?

139 in Roman numerals is written as CXXXIX.
 

4.Is CXXXVII a prime number?

5.What are the multiples of 137?

The multiples of 137 are 137, 274, 411, 548, and so on.
 

Important Glossaries for 137 in Roman Numerals

  • Addition Rule: Used when a larger numeral is followed by a smaller numeral; the values are added. For example, CXXXVII = C + XXX + VII = 137.
  • Grouping Method: The given numbers are grouped based on their place value, and each group is converted into Roman numerals. For example, 137 = 100 + 30 + 7 = CXXXVII.
  • Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times.
  • Subtraction Method: Used when a smaller numeral precedes a larger numeral; the smaller numeral is subtracted. For example, IX = X  I = 9.
  • Limitation Rule: Symbols like V, L, and D cannot be repeated. Repetition is limited to three times for symbols like I, X, and C.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.