152033560 has 64 divisors (see below), whose sum is σ = 397612800. Its totient is φ = 51236736.

The previous prime is 152033549. The next prime is 152033561. The reversal of 152033560 is 65330251.

It is a happy number.

It is a super-2 number, since 2×152033560² = 46228406732547200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152033561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11919 + ... + 21121.

It is an arithmetic number, because the mean of its divisors is an integer number (6212700).

Almost surely, 2^152033560 is an apocalyptic number.

152033560 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 152033560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198806400).

152033560 is an abundant number, since it is smaller than the sum of its proper divisors (245579240).

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

152033560 is a wasteful number, since it uses less digits than its factorization.

152033560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9280 (or 9276 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 152033560 is about 12330.1889685438. The cubic root of 152033560 is about 533.7196038538.

The spelling of 152033560 in words is "one hundred fifty-two million, thirty-three thousand, five hundred sixty".