131980492800 has 1344 divisors, whose sum is σ = 559571646060. Its totient is φ = 30576476160.

The previous prime is 131980492799. The next prime is 131980492823. The reversal of 131980492800 is 8294089131.

131980492800 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 80 + 492 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41576841216 + 90403651584 = 203904^2 + 300672^2 .

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 83 ways as a sum of consecutive naturals, for example, 7763558392 + ... + 7763558408.

Almost surely, 2^131980492800 is an apocalyptic number.

131980492800 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 131980492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279785823030).

131980492800 is an abundant number, since it is smaller than the sum of its proper divisors (427591153260).

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

131980492800 is an frugal number, since it uses more digits than its factorization.

131980492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 131980492800 in words is "one hundred thirty-one billion, nine hundred eighty million, four hundred ninety-two thousand, eight hundred".