157137929856 has 256 divisors, whose sum is σ = 471554160000. Its totient is φ = 51508224000.

The previous prime is 157137929827. The next prime is 157137929887. The reversal of 157137929856 is 658929731751.

157137929856 is a `hidden beast` number, since 1 + 571 + 3 + 7 + 9 + 2 + 9 + 8 + 56 = 666.

It is a super-4 number, since 4×157137929856⁴ (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157137929793 and 157137929802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52360356 + ... + 52363356.

Almost surely, 2^157137929856 is an apocalyptic number.

157137929856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157137929856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235777080000).

157137929856 is an abundant number, since it is smaller than the sum of its proper divisors (314416230144).

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

157137929856 is a wasteful number, since it uses less digits than its factorization.

157137929856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3254 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The spelling of 157137929856 in words is "one hundred fifty-seven billion, one hundred thirty-seven million, nine hundred twenty-nine thousand, eight hundred fifty-six".