159142080 has 112 divisors (see below), whose sum is σ = 510783840. Its totient is φ = 41975808.

The previous prime is 159142079. The next prime is 159142099. The reversal of 159142080 is 80241951.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 92266 + ... + 93974.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570).

Almost surely, 2^159142080 is an apocalyptic number.

159142080 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 159142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255391920).

159142080 is an abundant number, since it is smaller than the sum of its proper divisors (351641760).

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

159142080 is a wasteful number, since it uses less digits than its factorization.

159142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 159142080 is about 12615.1527933672. The cubic root of 159142080 is about 541.9114700427.

The spelling of 159142080 in words is "one hundred fifty-nine million, one hundred forty-two thousand, eighty".