152864168250 has 128 divisors (see below), whose sum is σ = 390685171968. Its totient is φ = 39798528000.

The previous prime is 152864168239. The next prime is 152864168263. The reversal of 152864168250 is 52861468251.

152864168250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 152864168250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5664790 + ... + 5691710.

It is an arithmetic number, because the mean of its divisors is an integer number (3052227906).

Almost surely, 2^152864168250 is an apocalyptic number.

152864168250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152864168250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195342585984).

152864168250 is an abundant number, since it is smaller than the sum of its proper divisors (237821003718).

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

152864168250 is a wasteful number, since it uses less digits than its factorization.

152864168250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27121 (or 27111 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 152864168250 in words is "one hundred fifty-two billion, eight hundred sixty-four million, one hundred sixty-eight thousand, two hundred fifty".