159264144 has 240 divisors, whose sum is σ = 523216512. Its totient is φ = 46531584.

The previous prime is 159264139. The next prime is 159264221. The reversal of 159264144 is 441462951.

159264144 is a `hidden beast` number, since 1 + 5 + 9 + 2 + 641 + 4 + 4 = 666.

159264144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 159264099 and 159264108.

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, 1162444 + ... + 1162580.

Almost surely, 2^159264144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159264144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261608256).

159264144 is an abundant number, since it is smaller than the sum of its proper divisors (363952368).

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

159264144 is a wasteful number, since it uses less digits than its factorization.

159264144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 159264144 is about 12619.9898573652. The cubic root of 159264144 is about 542.0499856316.

The spelling of 159264144 in words is "one hundred fifty-nine million, two hundred sixty-four thousand, one hundred forty-four".