# 153

## 153 is an odd composite number composed of two prime numbers multiplied together.

What does the number 153 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

153 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 153:

### 32 × 17

(3 × 3 × 17)

See below for interesting mathematical facts about the number 153 from the Numbermatics database.

### Names of 153

• Cardinal: 153 can be written as One hundred fifty-three.

### Scientific notation

• Scientific notation: 1.53 × 102

### Factors of 153

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 20

### Divisors of 153

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 234
• Sum of proper divisors (its aliquot sum) s(n): 81
• 153 is a deficient number, because the sum of its proper divisors (81) is less than itself. Its deficiency is 72

### Bases of 153

• Binary: 100110012
• Base-36: 49

### Squares and roots of 153

• 153 squared (1532) is 23409
• 153 cubed (1533) is 3581577
• The square root of 153 is 12.3693168769
• The cube root of 153 is 5.3484812413

### Scales and comparisons

How big is 153?
• 153 seconds is equal to 2 minutes, 33 seconds.
• To count from 1 to 153 would take you about sixteen 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 153 cubic inches would be around 0.4 feet tall.

### Recreational maths with 153

• 153 backwards is 351
• 153 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 153's digits is 9
• More coming soon!