157964 has 24 divisors (see below), whose sum is σ = 308448. Its totient is φ = 70400.

The previous prime is 157951. The next prime is 157991. The reversal of 157964 is 469751.

157964 = 137² + 138² + ... + 144².

It is a happy number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 157964.

It is an unprimeable 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 in 7 ways as a sum of consecutive naturals, for example, 1514 + ... + 1614.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2¹⁵⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

157964 is a deficient number, since it is larger than the sum of its proper divisors (150484).

157964 is a wasteful number, since it uses less digits than its factorization.

157964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 157964 is about 397.4468517928. The cubic root of 157964 is about 54.0570955316.

The spelling of 157964 in words is "one hundred fifty-seven thousand, nine hundred sixty-four".