131524992 has 128 divisors (see below), whose sum is σ = 408816000. Its totient is φ = 41513472.

The previous prime is 131524979. The next prime is 131525041. The reversal of 131524992 is 299425131.

131524992 is a `hidden beast` number, since 13 + 152 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64663 + ... + 66665.

It is an arithmetic number, because the mean of its divisors is an integer number (3193875).

Almost surely, 2^131524992 is an apocalyptic number.

131524992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131524992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204408000).

131524992 is an abundant number, since it is smaller than the sum of its proper divisors (277291008).

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

131524992 is a wasteful number, since it uses less digits than its factorization.

131524992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2027 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 131524992 is about 11468.4345923932. The cubic root of 131524992 is about 508.5528525567.

The spelling of 131524992 in words is "one hundred thirty-one million, five hundred twenty-four thousand, nine hundred ninety-two".