159123507264 has 196 divisors, whose sum is σ = 478756362780. Its totient is φ = 52443832320.

The previous prime is 159123507217. The next prime is 159123507271. The reversal of 159123507264 is 462705321951.

159123507264 is a `hidden beast` number, since 1 + 591 + 2 + 3 + 50 + 7 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62780313600 + 96343193664 = 250560^2 + 310392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4133224 + ... + 4171544.

Almost surely, 2^159123507264 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 159123507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239378181390).

159123507264 is an abundant number, since it is smaller than the sum of its proper divisors (319632855516).

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

159123507264 is an frugal number, since it uses more digits than its factorization.

159123507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38440 (or 38415 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 159123507264 in words is "one hundred fifty-nine billion, one hundred twenty-three million, five hundred seven thousand, two hundred sixty-four".