152530560 has 512 divisors, whose sum is σ = 671731200. Its totient is φ = 31850496.

The previous prime is 152530523. The next prime is 152530577. The reversal of 152530560 is 65035251.

152530560 is a `hidden beast` number, since 1 + 52 + 53 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572432 + ... + 1572528.

It is an arithmetic number, because the mean of its divisors is an integer number (1311975).

Almost surely, 2^152530560 is an apocalyptic number.

152530560 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 152530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335865600).

152530560 is an abundant number, since it is smaller than the sum of its proper divisors (519200640).

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

152530560 is a wasteful number, since it uses less digits than its factorization.

152530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

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

The square root of 152530560 is about 12350.3263114786. The cubic root of 152530560 is about 534.3005504160.

The spelling of 152530560 in words is "one hundred fifty-two million, five hundred thirty thousand, five hundred sixty".