# 45137

## 45,137 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 45137 look like?

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

45137 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 45137:

### 45137

See below for interesting mathematical facts about the number 45137 from the Numbermatics database.

### Names of 45137

• Cardinal: 45137 can be written as Forty-five thousand, one hundred thirty-seven.

### Scientific notation

• Scientific notation: 4.5137 × 104

### Factors of 45137

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 45137

### Divisors of 45137

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 45138
• Sum of proper divisors (its aliquot sum) s(n): 1
• 45137 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 45136

### Bases of 45137

• Binary: 10110000010100012
• Base-36: YTT

### Squares and roots of 45137

• 45137 squared (451372) is 2037348769
• 45137 cubed (451373) is 91959811386353
• The square root of 45137 is 212.4547010541
• The cube root of 45137 is 35.6049923561

### Scales and comparisons

How big is 45137?
• 45,137 seconds is equal to 12 hours, 32 minutes, 17 seconds.
• To count from 1 to 45,137 would take you about twelve hours.

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 45137 cubic inches would be around 3 feet tall.

### Recreational maths with 45137

• 45137 backwards is 73154
• 45137 is a twin prime! Its twin is 45139
• The number of decimal digits it has is: 5
• The sum of 45137's digits is 20
• More coming soon!