157568 has 16 divisors (see below), whose sum is σ = 314160. Its totient is φ = 78720.

The previous prime is 157561. The next prime is 157571. The reversal of 157568 is 865751.

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157561) by changing a digit.

157568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 488 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (19635).

2¹⁵⁷⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

157568 is a deficient number, since it is larger than the sum of its proper divisors (156592).

157568 is an equidigital number, since it uses as much as digits as its factorization.

157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 157568 is about 396.9483593618. The cubic root of 157568 is about 54.0118858153.

The spelling of 157568 in words is "one hundred fifty-seven thousand, five hundred sixty-eight".