153252532332 has 120 divisors (see below), whose sum is σ = 408085413120. Its totient is φ = 50136680160.

The previous prime is 153252532283. The next prime is 153252532333. The reversal of 153252532332 is 233235252351.

153252532332 is a `hidden beast` number, since 1 + 5 + 325 + 2 + 5 + 323 + 3 + 2 = 666.

It is a super-3 number, since 3×153252532332³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (153252532333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12361857 + ... + 12374247.

It is an arithmetic number, because the mean of its divisors is an integer number (3400711776).

Almost surely, 2^153252532332 is an apocalyptic number.

153252532332 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 153252532332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204042706560).

153252532332 is an abundant number, since it is smaller than the sum of its proper divisors (254832880788).

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

153252532332 is a wasteful number, since it uses less digits than its factorization.

153252532332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13113 (or 13102 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

Adding to 153252532332 its reverse (233235252351), we get a palindrome (386487784683).

It can be divided in two parts, 153252 and 532332, that added together give a square (685584 = 828²).

The spelling of 153252532332 in words is "one hundred fifty-three billion, two hundred fifty-two million, five hundred thirty-two thousand, three hundred thirty-two".