131639760 has 120 divisors (see below), whose sum is σ = 505265280. Its totient is φ = 30087936.

The previous prime is 131639759. The next prime is 131639777. The reversal of 131639760 is 67936131.

131639760 is a `hidden beast` number, since 13 + 1 + 639 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8020 + ... + 18099.

It is an arithmetic number, because the mean of its divisors is an integer number (4210544).

Almost surely, 2^131639760 is an apocalyptic number.

131639760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131639760 is an abundant number, since it is smaller than the sum of its proper divisors (373625520).

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

131639760 is a wasteful number, since it uses less digits than its factorization.

131639760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26145 (or 26136 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 131639760 is about 11473.4371484747. The cubic root of 131639760 is about 508.7007297133.

The spelling of 131639760 in words is "one hundred thirty-one million, six hundred thirty-nine thousand, seven hundred sixty".