159364800 has 672 divisors, whose sum is σ = 725667840. Its totient is φ = 33177600.

The previous prime is 159364787. The next prime is 159364801. The reversal of 159364800 is 8463951.

159364800 is a `hidden beast` number, since 1 + 5 + 9 + 3 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (159364801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5140785 + ... + 5140815.

Almost surely, 2^159364800 is an apocalyptic number.

159364800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362833920).

159364800 is an abundant number, since it is smaller than the sum of its proper divisors (566303040).

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

159364800 is a wasteful number, since it uses less digits than its factorization.

159364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 159364800 is about 12623.9771862912. The cubic root of 159364800 is about 542.1641546504.

159364800 divided by its sum of digits (36) gives a triangular number (4426800 = T₂₉₇₅).

It can be divided in two parts, 15936 and 4800, that added together give a 4-th power (20736 = 12⁴).

The spelling of 159364800 in words is "one hundred fifty-nine million, three hundred sixty-four thousand, eight hundred".