131057672024064 has 104 divisors (see below), whose sum is σ = 355173063186832. Its totient is φ = 42969728286720.

The previous prime is 131057672024063. The next prime is 131057672024077. The reversal of 131057672024064 is 460420276750131.

131057672024064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131057672024064² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131057672024063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 86672569 + ... + 88171704.

Almost surely, 2^{131057672024064} is an apocalyptic number.

It is an amenable number.

131057672024064 is an abundant number, since it is smaller than the sum of its proper divisors (224115391162768).

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

131057672024064 is an equidigital number, since it uses as much as digits as its factorization.

131057672024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174844361 (or 174844339 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 131057672024064 in words is "one hundred thirty-one trillion, fifty-seven billion, six hundred seventy-two million, twenty-four thousand, sixty-four".