131879520 has 72 divisors (see below), whose sum is σ = 450043776. Its totient is φ = 35167488.

The previous prime is 131879479. The next prime is 131879521. The reversal of 131879520 is 25978131.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131879521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44352 + ... + 47231.

It is an arithmetic number, because the mean of its divisors is an integer number (6250608).

Almost surely, 2^131879520 is an apocalyptic number.

131879520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131879520 is an abundant number, since it is smaller than the sum of its proper divisors (318164256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131879520 is a wasteful number, since it uses less digits than its factorization.

131879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91604 (or 91593 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131879520 is about 11483.8808771251. The cubic root of 131879520 is about 509.0093804198.

The spelling of 131879520 in words is "one hundred thirty-one million, eight hundred seventy-nine thousand, five hundred twenty".