131688432 has 60 divisors (see below), whose sum is σ = 384578064. Its totient is φ = 41986560.

The previous prime is 131688421. The next prime is 131688451. The reversal of 131688432 is 234886131.

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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16569 + ... + 23192.

Almost surely, 2^131688432 is an apocalyptic number.

131688432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131688432 is an abundant number, since it is smaller than the sum of its proper divisors (252889632).

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

131688432 is a wasteful number, since it uses less digits than its factorization.

131688432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39798 (or 39789 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 131688432 is about 11475.5580256474. The cubic root of 131688432 is about 508.7634170327.

The spelling of 131688432 in words is "one hundred thirty-one million, six hundred eighty-eight thousand, four hundred thirty-two".