159159840 has 288 divisors, whose sum is σ = 597772224. Its totient is φ = 35481600.

The previous prime is 159159817. The next prime is 159159877. The reversal of 159159840 is 48951951.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 159159792 and 159159801.

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, 1575790 + ... + 1575890.

It is an arithmetic number, because the mean of its divisors is an integer number (2075598).

Almost surely, 2^159159840 is an apocalyptic number.

159159840 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 159159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298886112).

159159840 is an abundant number, since it is smaller than the sum of its proper divisors (438612384).

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

159159840 is a wasteful number, since it uses less digits than its factorization.

159159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 159159840 is about 12615.8566891036. The cubic root of 159159840 is about 541.9316281088.

The spelling of 159159840 in words is "one hundred fifty-nine million, one hundred fifty-nine thousand, eight hundred forty".