131592314880 has 896 divisors, whose sum is σ = 514578234240. Its totient is φ = 32105299968.

The previous prime is 131592314879. The next prime is 131592314897. The reversal of 131592314880 is 88413295131.

131592314880 is a `hidden beast` number, since 13 + 1 + 592 + 3 + 1 + 48 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1164533704 + ... + 1164533816.

It is an arithmetic number, because the mean of its divisors is an integer number (574306065).

Almost surely, 2^131592314880 is an apocalyptic number.

131592314880 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 131592314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257289117120).

131592314880 is an abundant number, since it is smaller than the sum of its proper divisors (382985919360).

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

131592314880 is an frugal number, since it uses more digits than its factorization.

131592314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 131592314880 in words is "one hundred thirty-one billion, five hundred ninety-two million, three hundred fourteen thousand, eight hundred eighty".