131057897472 has 312 divisors, whose sum is σ = 396382541568. Its totient is φ = 41671065600.

The previous prime is 131057897449. The next prime is 131057897489. The reversal of 131057897472 is 274798750131.

131057897472 is a `hidden beast` number, since 1 + 3 + 10 + 5 + 78 + 97 + 472 = 666.

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 23 ways as a sum of consecutive naturals, for example, 83422447 + ... + 83424017.

It is an arithmetic number, because the mean of its divisors is an integer number (1270456864).

Almost surely, 2^131057897472 is an apocalyptic number.

131057897472 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 131057897472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198191270784).

131057897472 is an abundant number, since it is smaller than the sum of its proper divisors (265324644096).

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

131057897472 is a wasteful number, since it uses less digits than its factorization.

131057897472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 131057897472 in words is "one hundred thirty-one billion, fifty-seven million, eight hundred ninety-seven thousand, four hundred seventy-two".