152832 has 36 divisors (see below), whose sum is σ = 408800. Its totient is φ = 50688.

The previous prime is 152821. The next prime is 152833. The reversal of 152832 is 238251.

It is a nialpdrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 152799 and 152808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152833) by changing a digit.

152832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 669 + ... + 867.

2¹⁵²⁸³² is an apocalyptic number.

152832 is a gapful number since it is divisible by the number (12) 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 152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204400).

152832 is an abundant number, since it is smaller than the sum of its proper divisors (255968).

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

152832 is an equidigital number, since it uses as much as digits as its factorization.

152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 152832 is about 390.9373351319. The cubic root of 152832 is about 53.4652291024.

The spelling of 152832 in words is "one hundred fifty-two thousand, eight hundred thirty-two".