152733568 has 64 divisors (see below), whose sum is σ = 329868000. Its totient is φ = 70023168.

The previous prime is 152733541. The next prime is 152733577. The reversal of 152733568 is 865337251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 152733568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437458 + ... + 437806.

Almost surely, 2^152733568 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 152733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164934000).

152733568 is an abundant number, since it is smaller than the sum of its proper divisors (177134432).

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

152733568 is a wasteful number, since it uses less digits than its factorization.

152733568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 152733568 is about 12358.5423088647. The cubic root of 152733568 is about 534.5374847956.

The spelling of 152733568 in words is "one hundred fifty-two million, seven hundred thirty-three thousand, five hundred sixty-eight".