157457303754751 has 160 divisors (see below), whose sum is σ = 216103839114240. Its totient is φ = 111707605785600.

The previous prime is 157457303754631. The next prime is 157457303754763.

157457303754751 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 157457303754751 - 2³⁷ = 157319864801279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157457303754851) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34356817206 + ... + 34356821788.

It is an arithmetic number, because the mean of its divisors is an integer number (1350648994464).

Almost surely, 2^{157457303754751} is an apocalyptic number.

157457303754751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157457303754751 is a deficient number, since it is larger than the sum of its proper divisors (58646535359489).

157457303754751 is a wasteful number, since it uses less digits than its factorization.

157457303754751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 216090000, while the sum is 64.

The spelling of 157457303754751 in words is "one hundred fifty-seven trillion, four hundred fifty-seven billion, three hundred three million, seven hundred fifty-four thousand, seven hundred fifty-one".