159091920 has 240 divisors, whose sum is σ = 601211520. Its totient is φ = 37407744.

The previous prime is 159091913. The next prime is 159091951. The reversal of 159091920 is 29190951.

159091920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214911 + ... + 215649.

It is an arithmetic number, because the mean of its divisors is an integer number (2505048).

Almost surely, 2^159091920 is an apocalyptic number.

159091920 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 159091920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300605760).

159091920 is an abundant number, since it is smaller than the sum of its proper divisors (442119600).

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

159091920 is a wasteful number, since it uses less digits than its factorization.

159091920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 159091920 is about 12613.1645513725. The cubic root of 159091920 is about 541.8545290255.

The spelling of 159091920 in words is "one hundred fifty-nine million, ninety-one thousand, nine hundred twenty".