157968 has 30 divisors (see below), whose sum is σ = 442494. Its totient is φ = 52608.

The previous prime is 157951. The next prime is 157991. The reversal of 157968 is 869751.

157968 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 36864 = 348^2 + 192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 405 + ... + 692.

2¹⁵⁷⁹⁶⁸ is an apocalyptic number.

157968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157968 is an abundant number, since it is smaller than the sum of its proper divisors (284526).

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

157968 is a wasteful number, since it uses less digits than its factorization.

157968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1102 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 157968 is about 397.4518838803. The cubic root of 157968 is about 54.0575518097.

The spelling of 157968 in words is "one hundred fifty-seven thousand, nine hundred sixty-eight".