131165798400 has 2160 divisors, whose sum is σ = 638915606784. Its totient is φ = 24914165760.

The previous prime is 131165798399. The next prime is 131165798411. The reversal of 131165798400 is 4897561131.

131165798400 is a `hidden beast` number, since 1 + 31 + 1 + 6 + 579 + 8 + 40 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 5702860789 + ... + 5702860811.

Almost surely, 2^131165798400 is an apocalyptic number.

131165798400 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 131165798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319457803392).

131165798400 is an abundant number, since it is smaller than the sum of its proper divisors (507749808384).

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

131165798400 is a wasteful number, since it uses less digits than its factorization.

131165798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 131165798400 in words is "one hundred thirty-one billion, one hundred sixty-five million, seven hundred ninety-eight thousand, four hundred".