# 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!