152504320 has 96 divisors (see below), whose sum is σ = 374151960. Its totient is φ = 59637760.

The previous prime is 152504293. The next prime is 152504327. The reversal of 152504320 is 23405251.

It can be written as a sum of positive squares in 4 ways, for example, as 142468096 + 10036224 = 11936^2 + 3168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152504291 and 152504300.

It is not an unprimeable number, because it can be changed into a prime (152504327) 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 7 ways as a sum of consecutive naturals, for example, 542580 + ... + 542860.

Almost surely, 2^152504320 is an apocalyptic number.

152504320 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 152504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187075980).

152504320 is an abundant number, since it is smaller than the sum of its proper divisors (221647640).

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

152504320 is an equidigital number, since it uses as much as digits as its factorization.

152504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 152504320 is about 12349.2639456771. The cubic root of 152504320 is about 534.2699098885.

Adding to 152504320 its reverse (23405251), we get a palindrome (175909571).

The spelling of 152504320 in words is "one hundred fifty-two million, five hundred four thousand, three hundred twenty".