152264960 has 72 divisors (see below), whose sum is σ = 372629376. Its totient is φ = 59586560.

The previous prime is 152264929. The next prime is 152264977. The reversal of 152264960 is 69462251.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 152264960.

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, 58895 + ... + 61425.

It is an arithmetic number, because the mean of its divisors is an integer number (5175408).

Almost surely, 2^152264960 is an apocalyptic number.

152264960 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 152264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186314688).

152264960 is an abundant number, since it is smaller than the sum of its proper divisors (220364416).

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

152264960 is an equidigital number, since it uses as much as digits as its factorization.

152264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 152264960 is about 12339.5688741544. The cubic root of 152264960 is about 533.9902460964.

The spelling of 152264960 in words is "one hundred fifty-two million, two hundred sixty-four thousand, nine hundred sixty".