# 137

## 137 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 137 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

137 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 137:

### 137

See below for interesting mathematical facts about the number 137 from the Numbermatics database.

### Names of 137

• Cardinal: 137 can be written as One hundred thirty-seven.

### Scientific notation

• Scientific notation: 1.37 × 102

### Factors of 137

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 137

### Divisors of 137

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 138
• Sum of proper divisors (its aliquot sum) s(n): 1
• 137 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 136

### Bases of 137

• Binary: 100010012
• Base-36: 3T

### Squares and roots of 137

• 137 squared (1372) is 18769
• 137 cubed (1373) is 2571353
• The square root of 137 is 11.7046999107
• The cube root of 137 is 5.1551367355

### Scales and comparisons

How big is 137?
• 137 seconds is equal to 2 minutes, 17 seconds.
• To count from 1 to 137 would take you about eight seconds.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 137 cubic inches would be around 0.4 feet tall.

### Recreational maths with 137

• 137 backwards is 731
• 137 is a twin prime! Its twin is 139
• The number of decimal digits it has is: 3
• The sum of 137's digits is 11
• More coming soon!

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"Number 137 - Facts about the integer". Numbermatics.com. 2023. Web. 6 June 2023.

APA style:
Numbermatics. (2023). Number 137 - Facts about the integer. Retrieved 6 June 2023, from https://numbermatics.com/n/137/

Chicago style:
Numbermatics. 2023. "Number 137 - Facts about the integer". https://numbermatics.com/n/137/

The information we have on file for 137 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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