131271598080 has 896 divisors, whose sum is σ = 551601192960. Its totient is φ = 28983951360.

The previous prime is 131271598043. The next prime is 131271598091. The reversal of 131271598080 is 80895172131.

131271598080 is a `hidden beast` number, since 1 + 31 + 27 + 1 + 598 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239984367 + ... + 239984913.

Almost surely, 2^131271598080 is an apocalyptic number.

131271598080 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 131271598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275800596480).

131271598080 is an abundant number, since it is smaller than the sum of its proper divisors (420329594880).

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

131271598080 is an equidigital number, since it uses as much as digits as its factorization.

131271598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 131271598080 in words is "one hundred thirty-one billion, two hundred seventy-one million, five hundred ninety-eight thousand, eighty".