# 133632

## 133,632 is an even composite number composed of three prime numbers multiplied together.

What does the number 133632 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

133632 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 133632:

### 29 × 32 × 29

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 29)

See below for interesting mathematical facts about the number 133632 from the Numbermatics database.

### Names of 133632

• Cardinal: 133632 can be written as One hundred thirty-three thousand, six hundred thirty-two.

### Scientific notation

• Scientific notation: 1.33632 × 105

### Factors of 133632

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 34

### Divisors of 133632

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 398970
• Sum of proper divisors (its aliquot sum) s(n): 265338
• 133632 is an abundant number, because the sum of its proper divisors (265338) is greater than itself. Its abundance is 131706

### Bases of 133632

• Binary: 1000001010000000002
• Base-36: 2V40

### Squares and roots of 133632

• 133632 squared (1336322) is 17857511424
• 133632 cubed (1336323) is 2386334966611968
• The square root of 133632 is 365.5571090815
• The cube root of 133632 is 51.1254122271

### Scales and comparisons

How big is 133632?
• 133,632 seconds is equal to 1 day, 13 hours, 7 minutes, 12 seconds.
• To count from 1 to 133,632 would take you about thirteen 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 133632 cubic inches would be around 4.3 feet tall.

### Recreational maths with 133632

• 133632 backwards is 236331
• 133632 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 133632's digits is 18
• More coming soon!