131977564800 has 384 divisors, whose sum is σ = 455489894400. Its totient is φ = 33545318400.

The previous prime is 131977564751. The next prime is 131977564847. The reversal of 131977564800 is 8465779131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×131977564800² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 19935891 + ... + 19942509.

It is an arithmetic number, because the mean of its divisors is an integer number (1186171600).

Almost surely, 2^131977564800 is an apocalyptic number.

131977564800 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 131977564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227744947200).

131977564800 is an abundant number, since it is smaller than the sum of its proper divisors (323512329600).

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

131977564800 is a wasteful number, since it uses less digits than its factorization.

131977564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 131977564800 in words is "one hundred thirty-one billion, nine hundred seventy-seven million, five hundred sixty-four thousand, eight hundred".