131554125200 has 60 divisors (see below), whose sum is σ = 323767577028. Its totient is φ = 51338188800.

The previous prime is 131554125187. The next prime is 131554125217. The reversal of 131554125200 is 2521455131.

It can be written as a sum of positive squares in 6 ways, for example, as 258052096 + 131296073104 = 16064^2 + 362348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3994397 + ... + 4027196.

Almost surely, 2^131554125200 is an apocalyptic number.

131554125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131554125200 is an abundant number, since it is smaller than the sum of its proper divisors (192213451828).

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

131554125200 is a wasteful number, since it uses less digits than its factorization.

131554125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021652 (or 8021641 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 131554125200 in words is "one hundred thirty-one billion, five hundred fifty-four million, one hundred twenty-five thousand, two hundred".