152412320 has 48 divisors (see below), whose sum is σ = 365034600. Its totient is φ = 60125184.

The previous prime is 152412311. The next prime is 152412331. The reversal of 152412320 is 23214251.

It can be written as a sum of positive squares in 4 ways, for example, as 129868816 + 22543504 = 11396^2 + 4748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152412292 and 152412301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5156 + ... + 18204.

Almost surely, 2^152412320 is an apocalyptic number.

152412320 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 152412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182517300).

152412320 is an abundant number, since it is smaller than the sum of its proper divisors (212622280).

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

152412320 is a wasteful number, since it uses less digits than its factorization.

152412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13137 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 152412320 is about 12345.5384653728. The cubic root of 152412320 is about 534.1624534373.

Adding to 152412320 its reverse (23214251), we get a palindrome (175626571).

The spelling of 152412320 in words is "one hundred fifty-two million, four hundred twelve thousand, three hundred twenty".