159919920 has 400 divisors, whose sum is σ = 615764160. Its totient is φ = 38320128.

The previous prime is 159919909. The next prime is 159919927. The reversal of 159919920 is 29919951.

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

It is not an unprimeable number, because it can be changed into a prime (159919927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4322142 + ... + 4322178.

Almost surely, 2^159919920 is an apocalyptic number.

159919920 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 159919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307882080).

159919920 is an abundant number, since it is smaller than the sum of its proper divisors (455844240).

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

159919920 is a wasteful number, since it uses less digits than its factorization.

159919920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The square root of 159919920 is about 12645.9448045609. The cubic root of 159919920 is about 542.7929371367.

The spelling of 159919920 in words is "one hundred fifty-nine million, nine hundred nineteen thousand, nine hundred twenty".