159382080 has 560 divisors, whose sum is σ = 681557184. Its totient is φ = 34836480.

The previous prime is 159382073. The next prime is 159382087. The reversal of 159382080 is 80283951.

It is an interprime number because it is at equal distance from previous prime (159382073) and next prime (159382087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159382087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3706539 + ... + 3706581.

Almost surely, 2^159382080 is an apocalyptic number.

159382080 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 159382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340778592).

159382080 is an abundant number, since it is smaller than the sum of its proper divisors (522175104).

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

159382080 is a wasteful number, since it uses less digits than its factorization.

159382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 159382080 is about 12624.6615796226. The cubic root of 159382080 is about 542.1837496467.

The spelling of 159382080 in words is "one hundred fifty-nine million, three hundred eighty-two thousand, eighty".