152535607056 has 320 divisors, whose sum is σ = 541096796160. Its totient is φ = 40144619520.

The previous prime is 152535607027. The next prime is 152535607061. The reversal of 152535607056 is 650706535251.

152535607056 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 35 + 607 + 0 + 5 + 6 = 666.

152535607056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152535607056² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2384611 + ... + 2447741.

It is an arithmetic number, because the mean of its divisors is an integer number (1690927488).

Almost surely, 2^152535607056 is an apocalyptic number.

152535607056 is a gapful number since it is divisible by the number (16) 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 152535607056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270548398080).

152535607056 is an abundant number, since it is smaller than the sum of its proper divisors (388561189104).

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

152535607056 is a wasteful number, since it uses less digits than its factorization.

152535607056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63219 (or 63207 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 152535607056 in words is "one hundred fifty-two billion, five hundred thirty-five million, six hundred seven thousand, fifty-six".