159878160 has 480 divisors, whose sum is σ = 649958400. Its totient is φ = 34836480.

The previous prime is 159878119. The next prime is 159878197. The reversal of 159878160 is 61878951.

It is a super-2 number, since 2×159878160² = 51122052089971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5157345 + ... + 5157375.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^159878160 is an apocalyptic number.

159878160 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 159878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

159878160 is an abundant number, since it is smaller than the sum of its proper divisors (490080240).

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

159878160 is a wasteful number, since it uses less digits than its factorization.

159878160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 159878160 is about 12644.2935745735. The cubic root of 159878160 is about 542.7456863911.

The spelling of 159878160 in words is "one hundred fifty-nine million, eight hundred seventy-eight thousand, one hundred sixty".