152009792 has 56 divisors (see below), whose sum is σ = 330720192. Its totient is φ = 68748800.

The previous prime is 152009779. The next prime is 152009813. The reversal of 152009792 is 297900251.

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, 184742 + ... + 185562.

Almost surely, 2^152009792 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 152009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165360096).

152009792 is an abundant number, since it is smaller than the sum of its proper divisors (178710400).

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

152009792 is a wasteful number, since it uses less digits than its factorization.

152009792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 152009792 is about 12329.2251175814. The cubic root of 152009792 is about 533.6917895812.

The spelling of 152009792 in words is "one hundred fifty-two million, nine thousand, seven hundred ninety-two".