157864 has 16 divisors (see below), whose sum is σ = 338400. Its totient is φ = 67632.

The previous prime is 157841. The next prime is 157867. The reversal of 157864 is 468751.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (157867) by changing a digit.

157864 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 in 3 ways as a sum of consecutive naturals, for example, 1354 + ... + 1465.

It is an arithmetic number, because the mean of its divisors is an integer number (21150).

2¹⁵⁷⁸⁶⁴ is an apocalyptic number.

157864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

157864 is an abundant number, since it is smaller than the sum of its proper divisors (180536).

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

157864 is a wasteful number, since it uses less digits than its factorization.

157864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2828 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 157864 is about 397.3210288923. The cubic root of 157864 is about 54.0456860740.

The spelling of 157864 in words is "one hundred fifty-seven thousand, eight hundred sixty-four".