159081120 has 288 divisors, whose sum is σ = 604304064. Its totient is φ = 38100480.

The previous prime is 159081113. The next prime is 159081151. The reversal of 159081120 is 21180951.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916599 + ... + 1916681.

It is an arithmetic number, because the mean of its divisors is an integer number (2098278).

Almost surely, 2^159081120 is an apocalyptic number.

159081120 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 159081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302152032).

159081120 is an abundant number, since it is smaller than the sum of its proper divisors (445222944).

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

159081120 is a wasteful number, since it uses less digits than its factorization.

159081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 159081120 is about 12612.7364199844. The cubic root of 159081120 is about 541.8422674321.

It can be divided in two parts, 159081 and 120, that added together give a square (159201 = 399²).

The spelling of 159081120 in words is "one hundred fifty-nine million, eighty-one thousand, one hundred twenty".