152790516288 has 84 divisors (see below), whose sum is σ = 438413388348. Its totient is φ = 50875868160.

The previous prime is 152790516271. The next prime is 152790516301. The reversal of 152790516288 is 882615097251.

152790516288 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 9 + 0 + 5 + 1 + 628 + 8 = 666.

152790516288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 115621761024 + 37168755264 = 340032^2 + 192792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401070 + ... + 682962.

Almost surely, 2^152790516288 is an apocalyptic number.

152790516288 is a gapful number since it is divisible by the number (18) 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 152790516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219206694174).

152790516288 is an abundant number, since it is smaller than the sum of its proper divisors (285622872060).

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

152790516288 is a wasteful number, since it uses less digits than its factorization.

152790516288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282852 (or 282839 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 152790516288 in words is "one hundred fifty-two billion, seven hundred ninety million, five hundred sixteen thousand, two hundred eighty-eight".