159765120 has 96 divisors (see below), whose sum is σ = 551708820. Its totient is φ = 42602496.

The previous prime is 159765113. The next prime is 159765121. The reversal of 159765120 is 21567951.

159765120 is a `hidden beast` number, since 1 + 597 + 65 + 1 + 2 + 0 = 666.

159765120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156350016 + 3415104 = 12504^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×159765120² = 51049787137228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (159765121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8109 + ... + 19628.

Almost surely, 2^159765120 is an apocalyptic number.

159765120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159765120 is an abundant number, since it is smaller than the sum of its proper divisors (391943700).

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

159765120 is a wasteful number, since it uses less digits than its factorization.

159765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27762 (or 27747 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 159765120 is about 12639.8227835678. The cubic root of 159765120 is about 542.6177422169.

The spelling of 159765120 in words is "one hundred fifty-nine million, seven hundred sixty-five thousand, one hundred twenty".