159310080 has 108 divisors (see below), whose sum is σ = 551236140. Its totient is φ = 42479616.

The previous prime is 159310031. The next prime is 159310087. The reversal of 159310080 is 80013951.

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 119771136 = 6288^2 + 10944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159310087) 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, 4606 + ... + 18434.

Almost surely, 2^159310080 is an apocalyptic number.

159310080 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 159310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275618070).

159310080 is an abundant number, since it is smaller than the sum of its proper divisors (391926060).

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

159310080 is a wasteful number, since it uses less digits than its factorization.

159310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13856 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 159310080 is about 12621.8096959192. The cubic root of 159310080 is about 542.1020944825.

The spelling of 159310080 in words is "one hundred fifty-nine million, three hundred ten thousand, eighty".