131514053376400 has 30 divisors (see below), whose sum is σ = 315962513237762. Its totient is φ = 52605621350400.

The previous prime is 131514053376379. The next prime is 131514053376439. The reversal of 131514053376400 is 4673350415131.

It can be written as a sum of positive squares in 3 ways, for example, as 3891763456 + 131510161612944 = 62384^2 + 11467788^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164392566321 + ... + 164392567120.

Almost surely, 2^{131514053376400} is an apocalyptic number.

131514053376400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131514053376400 is an abundant number, since it is smaller than the sum of its proper divisors (184448459861362).

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

131514053376400 is a wasteful number, since it uses less digits than its factorization.

131514053376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328785133459 (or 328785133448 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 131514053376400 in words is "one hundred thirty-one trillion, five hundred fourteen billion, fifty-three million, three hundred seventy-six thousand, four hundred".