131638932 has 36 divisors (see below), whose sum is σ = 345080736. Its totient is φ = 43879320.

The previous prime is 131638879. The next prime is 131638937. The reversal of 131638932 is 239836131.

131638932 is a `hidden beast` number, since 13 + 1 + 638 + 9 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 (131638937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66744 + ... + 68687.

It is an arithmetic number, because the mean of its divisors is an integer number (9585576).

Almost surely, 2^131638932 is an apocalyptic number.

131638932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131638932 is an abundant number, since it is smaller than the sum of its proper divisors (213441804).

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

131638932 is a wasteful number, since it uses less digits than its factorization.

131638932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135450 (or 135436 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 131638932 is about 11473.4010650722. The cubic root of 131638932 is about 508.6996631533.

The spelling of 131638932 in words is "one hundred thirty-one million, six hundred thirty-eight thousand, nine hundred thirty-two".