152159230080 has 1024 divisors, whose sum is σ = 639104256000. Its totient is φ = 33728348160.

The previous prime is 152159230079. The next prime is 152159230081. The reversal of 152159230080 is 80032951251.

152159230080 is a `hidden beast` number, since 1 + 521 + 59 + 2 + 3 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (152159230079) and next prime (152159230081).

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

It is not an unprimeable number, because it can be changed into a prime (152159230081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 343474339 + ... + 343474781.

It is an arithmetic number, because the mean of its divisors is an integer number (624125250).

Almost surely, 2^152159230080 is an apocalyptic number.

152159230080 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 152159230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319552128000).

152159230080 is an abundant number, since it is smaller than the sum of its proper divisors (486945025920).

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

152159230080 is a wasteful number, since it uses less digits than its factorization.

152159230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 152159230080 in words is "one hundred fifty-two billion, one hundred fifty-nine million, two hundred thirty thousand, eighty".