152135918860288 has 384 divisors, whose sum is σ = 352837886768640. Its totient is φ = 64814202224640.

The previous prime is 152135918860267. The next prime is 152135918860307. The reversal of 152135918860288 is 882068819531251.

152135918860288 is digitally balanced in base 3, 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 (67) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160650389031 + ... + 160650389977.

It is an arithmetic number, because the mean of its divisors is an integer number (918848663460).

Almost surely, 2^{152135918860288} 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 152135918860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176418943384320).

152135918860288 is an abundant number, since it is smaller than the sum of its proper divisors (200701967908352).

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

152135918860288 is a wasteful number, since it uses less digits than its factorization.

152135918860288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 67.

The spelling of 152135918860288 in words is "one hundred fifty-two trillion, one hundred thirty-five billion, nine hundred eighteen million, eight hundred sixty thousand, two hundred eighty-eight".