131056710674400 has 1440 divisors, whose sum is σ = 572553564726528. Its totient is φ = 28545360076800.

The previous prime is 131056710674299. The next prime is 131056710674447. The reversal of 131056710674400 is 4476017650131.

It is a happy number.

131056710674400 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 567 + 10 + 6 + 74 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×131056710674400² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 799614859 + ... + 799778741.

Almost surely, 2^{131056710674400} is an apocalyptic number.

131056710674400 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 131056710674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286276782363264).

131056710674400 is an abundant number, since it is smaller than the sum of its proper divisors (441496854052128).

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

131056710674400 is a wasteful number, since it uses less digits than its factorization.

131056710674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164006 (or 163984 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 131056710674400 in words is "one hundred thirty-one trillion, fifty-six billion, seven hundred ten million, six hundred seventy-four thousand, four hundred".