159120 has 120 divisors (see below), whose sum is σ = 609336. Its totient is φ = 36864.

The previous prime is 159119. The next prime is 159157. The reversal of 159120 is 21951.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 147456 = 108^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 159093 and 159102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9352 + ... + 9368.

2¹⁵⁹¹²⁰ is an apocalyptic number.

159120 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 159120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668).

159120 is an abundant number, since it is smaller than the sum of its proper divisors (450216).

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

159120 is a wasteful number, since it uses less digits than its factorization.

159120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 159120 is about 398.8984833263. The cubic root of 159120 is about 54.1886406572.

The spelling of 159120 in words is "one hundred fifty-nine thousand, one hundred twenty".