152023522464 has 192 divisors, whose sum is σ = 504742855680. Its totient is φ = 44064725760.

The previous prime is 152023522433. The next prime is 152023522481. The reversal of 152023522464 is 464225320251.

152023522464 is a `hidden beast` number, since 1 + 52 + 0 + 23 + 522 + 4 + 64 = 666.

It is a super-2 number, since 2×152023522464² (a number of 23 digits) contains 22 as substring.

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

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, 129142 + ... + 566325.

It is an arithmetic number, because the mean of its divisors is an integer number (2628869040).

Almost surely, 2^152023522464 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 152023522464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252371427840).

152023522464 is an abundant number, since it is smaller than the sum of its proper divisors (352719333216).

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

152023522464 is a wasteful number, since it uses less digits than its factorization.

152023522464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695520 (or 695506 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 152023522464 in words is "one hundred fifty-two billion, twenty-three million, five hundred twenty-two thousand, four hundred sixty-four".