157329635904 has 315 divisors, whose sum is σ = 543207299283. Its totient is φ = 44894207232.

The previous prime is 157329635851. The next prime is 157329635909. The reversal of 157329635904 is 409536923751.

The square root of 157329635904 is 396648.

It is a perfect power (a square), and thus also a powerful number.

157329635904 is a `hidden beast` number, since 1 + 573 + 2 + 9 + 63 + 5 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×157329635904² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (157329635909) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 199910199 + ... + 199910985.

Almost surely, 2^157329635904 is an apocalyptic number.

157329635904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

157329635904 is the 396648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157329635904

157329635904 is an abundant number, since it is smaller than the sum of its proper divisors (385877663379).

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

157329635904 is an frugal number, since it uses more digits than its factorization.

157329635904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 157329635904 in words is "one hundred fifty-seven billion, three hundred twenty-nine million, six hundred thirty-five thousand, nine hundred four".