152505732 has 48 divisors (see below), whose sum is σ = 380403072. Its totient is φ = 47435520.

The previous prime is 152505719. The next prime is 152505739. The reversal of 152505732 is 237505251.

It is a self number, because there is not a number n which added to its sum of digits gives 152505732.

It is not an unprimeable number, because it can be changed into a prime (152505739) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4578 + ... + 18054.

It is an arithmetic number, because the mean of its divisors is an integer number (7925064).

Almost surely, 2^152505732 is an apocalyptic number.

152505732 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 152505732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190201536).

152505732 is an abundant number, since it is smaller than the sum of its proper divisors (227897340).

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

152505732 is a wasteful number, since it uses less digits than its factorization.

152505732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13548 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 152505732 is about 12349.3211149439. The cubic root of 152505732 is about 534.2715587746.

The spelling of 152505732 in words is "one hundred fifty-two million, five hundred five thousand, seven hundred thirty-two".