159855120 has 140 divisors (see below), whose sum is σ = 557443116. Its totient is φ = 42612480.

The previous prime is 159855119. The next prime is 159855167. The reversal of 159855120 is 21558951.

It is a happy number.

159855120 is a `hidden beast` number, since 1 + 598 + 55 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 107495424 = 7236^2 + 10368^2 .

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56950 + ... + 59690.

Almost surely, 2^159855120 is an apocalyptic number.

159855120 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 159855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278721558).

159855120 is an abundant number, since it is smaller than the sum of its proper divisors (397587996).

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

159855120 is an equidigital number, since it uses as much as digits as its factorization.

159855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 159855120 is about 12643.3824588201. The cubic root of 159855120 is about 542.7196134921.

The spelling of 159855120 in words is "one hundred fifty-nine million, eight hundred fifty-five thousand, one hundred twenty".