131214758400 has 720 divisors, whose sum is σ = 542493233568. Its totient is φ = 29933568000.

The previous prime is 131214758399. The next prime is 131214758413. The reversal of 131214758400 is 4857412131.

131214758400 is a `hidden beast` number, since 1 + 31 + 2 + 1 + 47 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 21539355 + ... + 21545445.

Almost surely, 2^131214758400 is an apocalyptic number.

131214758400 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 131214758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271246616784).

131214758400 is an abundant number, since it is smaller than the sum of its proper divisors (411278475168).

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

131214758400 is a wasteful number, since it uses less digits than its factorization.

131214758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 131214758400 in words is "one hundred thirty-one billion, two hundred fourteen million, seven hundred fifty-eight thousand, four hundred".