152253312 has 64 divisors (see below), whose sum is σ = 412108560. Its totient is φ = 49786880.

The previous prime is 152253293. The next prime is 152253313. The reversal of 152253312 is 213352251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152253313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16612 + ... + 24092.

Almost surely, 2^152253312 is an apocalyptic number.

152253312 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 152253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206054280).

152253312 is an abundant number, since it is smaller than the sum of its proper divisors (259855248).

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

152253312 is an equidigital number, since it uses as much as digits as its factorization.

152253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7551 (or 7539 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 152253312 is about 12339.0968875360. The cubic root of 152253312 is about 533.9766293129.

The spelling of 152253312 in words is "one hundred fifty-two million, two hundred fifty-three thousand, three hundred twelve".