152992560 has 160 divisors (see below), whose sum is σ = 570677760. Its totient is φ = 33122304.

The previous prime is 152992547. The next prime is 152992561. The reversal of 152992560 is 65299251.

152992560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152992561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29524 + ... + 34316.

It is an arithmetic number, because the mean of its divisors is an integer number (3566736).

Almost surely, 2^152992560 is an apocalyptic number.

152992560 is a gapful number since it is divisible by the number (10) 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 152992560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285338880).

152992560 is an abundant number, since it is smaller than the sum of its proper divisors (417685200).

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

152992560 is a wasteful number, since it uses less digits than its factorization.

152992560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 152992560 is about 12369.0161290217. The cubic root of 152992560 is about 534.8394545498.

The spelling of 152992560 in words is "one hundred fifty-two million, nine hundred ninety-two thousand, five hundred sixty".