152505360 has 120 divisors (see below), whose sum is σ = 585349440. Its totient is φ = 34857216.

The previous prime is 152505359. The next prime is 152505361. The reversal of 152505360 is 63505251.

152505360 is a `hidden beast` number, since 152 + 505 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152505359) and next prime (152505361).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (152505361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10090 + ... + 20169.

It is an arithmetic number, because the mean of its divisors is an integer number (4877912).

Almost surely, 2^152505360 is an apocalyptic number.

152505360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152505360 is an abundant number, since it is smaller than the sum of its proper divisors (432844080).

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

152505360 is a wasteful number, since it uses less digits than its factorization.

152505360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30285 (or 30276 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 152505360 is about 12349.3060533781. The cubic root of 152505360 is about 534.2711243665.

The spelling of 152505360 in words is "one hundred fifty-two million, five hundred five thousand, three hundred sixty".