# 151

## 151 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 151 look like?

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

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

## Prime factorization of 151:

### 151

See below for interesting mathematical facts about the number 151 from the Numbermatics database.

### Names of 151

• Cardinal: 151 can be written as One hundred fifty-one.

### Scientific notation

• Scientific notation: 1.51 × 102

### Factors of 151

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 151

### Divisors of 151

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 152
• Sum of proper divisors (its aliquot sum) s(n): 1
• 151 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 150

### Bases of 151

• Binary: 100101112
• Base-36: 47

### Squares and roots of 151

• 151 squared (1512) is 22801
• 151 cubed (1513) is 3442951
• The square root of 151 is 12.2882057273
• The cube root of 151 is 5.3250740217

### Scales and comparisons

How big is 151?
• 151 seconds is equal to 2 minutes, 31 seconds.
• To count from 1 to 151 would take you about fifteen 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 151 cubic inches would be around 0.4 feet tall.

### Recreational maths with 151

• 151 is the same when its digits are reversed! That makes it a palindromic prime number.
• The number of decimal digits it has is: 3
• The sum of 151's digits is 7
• More coming soon!