131324928 has 176 divisors, whose sum is σ = 415033344. Its totient is φ = 36126720.

The previous prime is 131324911. The next prime is 131324933. The reversal of 131324928 is 829423131.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 666526 + ... + 666722.

It is an arithmetic number, because the mean of its divisors is an integer number (2358144).

Almost surely, 2^131324928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207516672).

131324928 is an abundant number, since it is smaller than the sum of its proper divisors (283708416).

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

131324928 is a wasteful number, since it uses less digits than its factorization.

131324928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 131324928 is about 11459.7088968263. The cubic root of 131324928 is about 508.2948667360.

The spelling of 131324928 in words is "one hundred thirty-one million, three hundred twenty-four thousand, nine hundred twenty-eight".