153328252 has 108 divisors (see below), whose sum is σ = 361197144. Its totient is φ = 56306880.

The previous prime is 153328237. The next prime is 153328267. The reversal of 153328252 is 252823351.

153328252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153328237) and next prime (153328267).

It is a super-2 number, since 2×153328252² = 47019105722751008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 778218 + ... + 778414.

It is an arithmetic number, because the mean of its divisors is an integer number (3344418).

Almost surely, 2^153328252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153328252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180598572).

153328252 is an abundant number, since it is smaller than the sum of its proper divisors (207868892).

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

153328252 is a wasteful number, since it uses less digits than its factorization.

153328252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 236 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 153328252 is about 12382.5785682951. The cubic root of 153328252 is about 535.2303453904.

It can be divided in two parts, 153328 and 252, that multiplied together give a square (38638656 = 6216²).

The spelling of 153328252 in words is "one hundred fifty-three million, three hundred twenty-eight thousand, two hundred fifty-two".