131271427958400 has 192 divisors, whose sum is σ = 480416962358400. Its totient is φ = 35005714099200.

The previous prime is 131271427958347. The next prime is 131271427958423. The reversal of 131271427958400 is 4859724172131.

It is a happy number.

131271427958400 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 7 + 142 + 7 + 95 + 8 + 400 = 666.

131271427958400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759586216 + ... + 759759015.

It is an arithmetic number, because the mean of its divisors is an integer number (2502171678950).

Almost surely, 2^{131271427958400} is an apocalyptic number.

131271427958400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131271427958400 is an abundant number, since it is smaller than the sum of its proper divisors (349145534400000).

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

131271427958400 is a wasteful number, since it uses less digits than its factorization.

131271427958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519345264 (or 1519345241 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 131271427958400 in words is "one hundred thirty-one trillion, two hundred seventy-one billion, four hundred twenty-seven million, nine hundred fifty-eight thousand, four hundred".