159217920 has 288 divisors, whose sum is σ = 600445440. Its totient is φ = 39813120.

The previous prime is 159217913. The next prime is 159217969. The reversal of 159217920 is 29712951.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587385 + ... + 587655.

It is an arithmetic number, because the mean of its divisors is an integer number (2084880).

Almost surely, 2^159217920 is an apocalyptic number.

159217920 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 159217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300222720).

159217920 is an abundant number, since it is smaller than the sum of its proper divisors (441227520).

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

159217920 is a wasteful number, since it uses less digits than its factorization.

159217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 159217920 is about 12618.1583442276. The cubic root of 159217920 is about 541.9975399642.

The spelling of 159217920 in words is "one hundred fifty-nine million, two hundred seventeen thousand, nine hundred twenty".