152824320 has 400 divisors, whose sum is σ = 606041568. Its totient is φ = 36495360.

The previous prime is 152824289. The next prime is 152824361. The reversal of 152824320 is 23428251.

152824320 is a `hidden beast` number, since 152 + 82 + 432 + 0 = 666.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280927 + ... + 2280993.

Almost surely, 2^152824320 is an apocalyptic number.

152824320 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 152824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303020784).

152824320 is an abundant number, since it is smaller than the sum of its proper divisors (453217248).

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

152824320 is an equidigital number, since it uses as much as digits as its factorization.

152824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152824320 is about 12362.2133940488. The cubic root of 152824320 is about 534.6433352243.

The spelling of 152824320 in words is "one hundred fifty-two million, eight hundred twenty-four thousand, three hundred twenty".