# 131768

## 131,768 is an even composite number composed of four prime numbers multiplied together.

What does the number 131768 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

131768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 131768:

### 23 × 7 × 13 × 181

(2 × 2 × 2 × 7 × 13 × 181)

See below for interesting mathematical facts about the number 131768 from the Numbermatics database.

### Names of 131768

• Cardinal: 131768 can be written as One hundred thirty-one thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 1.31768 × 105

### Factors of 131768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 203

### Divisors of 131768

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 305760
• Sum of proper divisors (its aliquot sum) s(n): 173992
• 131768 is an abundant number, because the sum of its proper divisors (173992) is greater than itself. Its abundance is 42224

### Bases of 131768

• Binary: 1000000010101110002
• Base-36: 2TO8

### Squares and roots of 131768

• 131768 squared (1317682) is 17362805824
• 131768 cubed (1317683) is 2287862197816832
• The square root of 131768 is 362.9986225869
• The cube root of 131768 is 50.8865863737

### Scales and comparisons

How big is 131768?
• 131,768 seconds is equal to 1 day, 12 hours, 36 minutes, 8 seconds.
• To count from 1 to 131,768 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 131768 cubic inches would be around 4.2 feet tall.

### Recreational maths with 131768

• 131768 backwards is 867131
• 131768 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 131768's digits is 26
• More coming soon!