153504252 has 72 divisors (see below), whose sum is σ = 424744320. Its totient is φ = 46357920.

The previous prime is 153504167. The next prime is 153504257. The reversal of 153504252 is 252405351.

It is a happy number.

153504252 is a `hidden beast` number, since 153 + 504 + 2 + 5 + 2 = 666.

153504252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153504257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173403 + ... + 174285.

Almost surely, 2^153504252 is an apocalyptic number.

153504252 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 153504252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212372160).

153504252 is an abundant number, since it is smaller than the sum of its proper divisors (271240068).

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

153504252 is a wasteful number, since it uses less digits than its factorization.

153504252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 153504252 is about 12389.6832889304. The cubic root of 153504252 is about 535.4350576540.

It can be divided in two parts, 153 and 504252, that added together give a palindrome (504405).

The spelling of 153504252 in words is "one hundred fifty-three million, five hundred four thousand, two hundred fifty-two".