157117968 has 240 divisors, whose sum is σ = 545965056. Its totient is φ = 42768000.

The previous prime is 157117963. The next prime is 157117993. The reversal of 157117968 is 869711751.

157117968 is a `hidden beast` number, since 1 + 571 + 1 + 79 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (157117963) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 625843 + ... + 626093.

Almost surely, 2^157117968 is an apocalyptic number.

157117968 is a gapful number since it is divisible by the number (18) 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 157117968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

157117968 is an abundant number, since it is smaller than the sum of its proper divisors (388847088).

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

157117968 is a wasteful number, since it uses less digits than its factorization.

157117968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its digits is 105840, while the sum is 45.

The square root of 157117968 is about 12534.6706378748. The cubic root of 157117968 is about 539.6041543417.

The spelling of 157117968 in words is "one hundred fifty-seven million, one hundred seventeen thousand, nine hundred sixty-eight".