131637672 has 24 divisors (see below), whose sum is σ = 356518890. Its totient is φ = 43879200.

The previous prime is 131637661. The next prime is 131637677. The reversal of 131637672 is 276736131.

131637672 is a `hidden beast` number, since 13 + 1 + 637 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131194116 + 443556 = 11454^2 + 666^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (131637677) 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 5 ways as a sum of consecutive naturals, for example, 914079 + ... + 914222.

Almost surely, 2^131637672 is an apocalyptic number.

131637672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131637672 is an abundant number, since it is smaller than the sum of its proper divisors (224881218).

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

131637672 is a wasteful number, since it uses less digits than its factorization.

131637672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828313 (or 1828306 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 131637672 is about 11473.3461553289. The cubic root of 131637672 is about 508.6980401188.

The spelling of 131637672 in words is "one hundred thirty-one million, six hundred thirty-seven thousand, six hundred seventy-two".