152580224 has 32 divisors (see below), whose sum is σ = 307127100. Its totient is φ = 75497472.

The previous prime is 152580221. The next prime is 152580227. The reversal of 152580224 is 422085251.

It is an interprime number because it is at equal distance from previous prime (152580221) and next prime (152580227).

It can be written as a sum of positive squares in 2 ways, for example, as 149621824 + 2958400 = 12232^2 + 1720^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152580221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6272 + ... + 18560.

Almost surely, 2^152580224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153563550).

152580224 is an abundant number, since it is smaller than the sum of its proper divisors (154546876).

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

152580224 is an equidigital number, since it uses as much as digits as its factorization.

152580224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400 (or 12388 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 152580224 is about 12352.3367829735. The cubic root of 152580224 is about 534.3585336011.

The spelling of 152580224 in words is "one hundred fifty-two million, five hundred eighty thousand, two hundred twenty-four".