131985557600400 has 1920 divisors, whose sum is σ = 558933079326720. Its totient is φ = 29321056512000.

The previous prime is 131985557600357. The next prime is 131985557600419. The reversal of 131985557600400 is 4006755589131.

131985557600400 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 85 + 557 + 6 + 0 + 0 + 4 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43459187682 + ... + 43459190718.

It is an arithmetic number, because the mean of its divisors is an integer number (291110978816).

Almost surely, 2^{131985557600400} is an apocalyptic number.

131985557600400 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 131985557600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279466539663360).

131985557600400 is an abundant number, since it is smaller than the sum of its proper divisors (426947521726320).

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

131985557600400 is a wasteful number, since it uses less digits than its factorization.

131985557600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 131985557600400 in words is "one hundred thirty-one trillion, nine hundred eighty-five billion, five hundred fifty-seven million, six hundred thousand, four hundred".