153513132 has 48 divisors (see below), whose sum is σ = 377540352. Its totient is φ = 48452800.

The previous prime is 153513121. The next prime is 153513133. The reversal of 153513132 is 231315351.

153513132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (153513133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25123 + ... + 30629.

It is an arithmetic number, because the mean of its divisors is an integer number (7865424).

Almost surely, 2^153513132 is an apocalyptic number.

153513132 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 153513132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188770176).

153513132 is an abundant number, since it is smaller than the sum of its proper divisors (224027220).

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

153513132 is a wasteful number, since it uses less digits than its factorization.

153513132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5636 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 153513132 is about 12390.0416464191. The cubic root of 153513132 is about 535.4453821706.

Adding to 153513132 its reverse (231315351), we get a palindrome (384828483).

The spelling of 153513132 in words is "one hundred fifty-three million, five hundred thirteen thousand, one hundred thirty-two".