257157134132157 has 32 divisors (see below), whose sum is σ = 435399496992000. Its totient is φ = 146946537345024.

The previous prime is 257157134132149. The next prime is 257157134132167. The reversal of 257157134132157 is 751231431751752.

257157134132157 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 5 + 7 + 1 + 3 + 413 + 215 + 7 = 666.

It is not a de Polignac number, because 257157134132157 - 2³ = 257157134132149 is a prime.

It is a super-2 number, since 2×257157134132157² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257157134132167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77439469 + ... + 80691917.

It is an arithmetic number, because the mean of its divisors is an integer number (13606234281000).

Almost surely, 2^{257157134132157} is an apocalyptic number.

257157134132157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

257157134132157 is a deficient number, since it is larger than the sum of its proper divisors (178242362859843).

257157134132157 is a wasteful number, since it uses less digits than its factorization.

257157134132157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670802 (or 3670796 counting only the distinct ones).

The product of its digits is 6174000, while the sum is 54.

The spelling of 257157134132157 in words is "two hundred fifty-seven trillion, one hundred fifty-seven billion, one hundred thirty-four million, one hundred thirty-two thousand, one hundred fifty-seven".