159820164 has 135 divisors (see below), whose sum is σ = 482508663. Its totient is φ = 44600976.

The previous prime is 159820147. The next prime is 159820181. The reversal of 159820164 is 461028951.

The square root of 159820164 is 12642.

It is a perfect power (a square), and thus also a powerful number.

159820164 is a `hidden beast` number, since 1 + 598 + 2 + 0 + 1 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (159820147) and next prime (159820181).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3716727 + ... + 3716769.

Almost surely, 2^159820164 is an apocalyptic number.

159820164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

159820164 is the 12642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159820164

159820164 is an abundant number, since it is smaller than the sum of its proper divisors (322688499).

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

159820164 is an equidigital number, since it uses as much as digits as its factorization.

159820164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 159820164 is about 542.6800512314.

Multiplying 159820164 by its sum of digits (36), we get a square (5753525904 = 75852²).

159820164 divided by its sum of digits (36) gives a square (4439449 = 2107²).

The spelling of 159820164 in words is "one hundred fifty-nine million, eight hundred twenty thousand, one hundred sixty-four".