157986 has 24 divisors (see below), whose sum is σ = 350064. Its totient is φ = 51480.

The previous prime is 157951. The next prime is 157991. The reversal of 157986 is 689751.

157986 is a `hidden beast` number, since 1 + 579 + 86 = 666.

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 157986.

It is an unprimeable number.

157986 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 11 ways as a sum of consecutive naturals, for example, 1141 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (14586).

2¹⁵⁷⁹⁸⁶ is an apocalyptic number.

157986 is an abundant number, since it is smaller than the sum of its proper divisors (192078).

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

157986 is a wasteful number, since it uses less digits than its factorization.

157986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

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

The square root of 157986 is about 397.4745274857. The cubic root of 157986 is about 54.0596049660.

It can be divided in two parts, 15 and 7986, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 157986 in words is "one hundred fifty-seven thousand, nine hundred eighty-six".