131161824 has 72 divisors (see below), whose sum is σ = 389228112. Its totient is φ = 41817600.

The previous prime is 131161799. The next prime is 131161843. The reversal of 131161824 is 428161131.

It is a happy number.

131161824 is a `hidden beast` number, since 13 + 11 + 618 + 24 = 666.

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

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3277 + ... + 16524.

It is an arithmetic number, because the mean of its divisors is an integer number (5405946).

Almost surely, 2^131161824 is an apocalyptic number.

It is an amenable number.

131161824 is an abundant number, since it is smaller than the sum of its proper divisors (258066288).

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

131161824 is a wasteful number, since it uses less digits than its factorization.

131161824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19840 (or 19829 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 131161824 is about 11452.5902746933. The cubic root of 131161824 is about 508.0843474964.

The spelling of 131161824 in words is "one hundred thirty-one million, one hundred sixty-one thousand, eight hundred twenty-four".