# 157

## 157 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 157 look like?

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

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

## Prime factorization of 157:

### 157

See below for interesting mathematical facts about the number 157 from the Numbermatics database.

### Names of 157

• Cardinal: 157 can be written as One hundred fifty-seven.

### Scientific notation

• Scientific notation: 1.57 × 102

### Factors of 157

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 157

### Divisors of 157

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 158
• Sum of proper divisors (its aliquot sum) s(n): 1
• 157 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 156

### Bases of 157

• Binary: 100111012
• Base-36: 4D

### Squares and roots of 157

• 157 squared (1572) is 24649
• 157 cubed (1573) is 3869893
• The square root of 157 is 12.5299640861
• The cube root of 157 is 5.3946907121

### Scales and comparisons

How big is 157?
• 157 seconds is equal to 2 minutes, 37 seconds.
• To count from 1 to 157 would take you about eighteen 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 157 cubic inches would be around 0.4 feet tall.

### Recreational maths with 157

• 157 backwards is 751
• The number of decimal digits it has is: 3
• The sum of 157's digits is 13
• More coming soon!