131610482420400 has 180 divisors, whose sum is σ = 456752850585720. Its totient is φ = 35093983334400.

The previous prime is 131610482420383. The next prime is 131610482420407. The reversal of 131610482420400 is 4024284016131.

131610482420400 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 1 + 0 + 4 + 8 + 242 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131610482420407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58222491 + ... + 60440709.

Almost surely, 2^{131610482420400} is an apocalyptic number.

131610482420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131610482420400 is an abundant number, since it is smaller than the sum of its proper divisors (325142368165320).

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

131610482420400 is a wasteful number, since it uses less digits than its factorization.

131610482420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234724 (or 2234710 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 131610482420400 in words is "one hundred thirty-one trillion, six hundred ten billion, four hundred eighty-two million, four hundred twenty thousand, four hundred".