131859360 has 192 divisors, whose sum is σ = 467026560. Its totient is φ = 34744320.

The previous prime is 131859353. The next prime is 131859397. The reversal of 131859360 is 63958131.

It is a happy number.

131859360 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 593 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565804 + ... + 566036.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 2^131859360 is an apocalyptic number.

131859360 is a gapful number since it is divisible by the number (10) 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 131859360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

131859360 is an abundant number, since it is smaller than the sum of its proper divisors (335167200).

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

131859360 is a wasteful number, since it uses less digits than its factorization.

131859360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

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

The square root of 131859360 is about 11483.0030915262. The cubic root of 131859360 is about 508.9834422200.

The spelling of 131859360 in words is "one hundred thirty-one million, eight hundred fifty-nine thousand, three hundred sixty".