131256544000 has 72 divisors (see below), whose sum is σ = 326976537888. Its totient is φ = 52502604800.

The previous prime is 131256543991. The next prime is 131256544007. The reversal of 131256544000 is 445652131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131256544007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2018884 + ... + 2082883.

It is an arithmetic number, because the mean of its divisors is an integer number (4541340804).

Almost surely, 2^131256544000 is an apocalyptic number.

131256544000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131256544000 is an abundant number, since it is smaller than the sum of its proper divisors (195719993888).

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

131256544000 is an frugal number, since it uses more digits than its factorization.

131256544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101798 (or 4101774 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 131256544000 in words is "one hundred thirty-one billion, two hundred fifty-six million, five hundred forty-four thousand".