132505120 has 96 divisors (see below), whose sum is σ = 346187520. Its totient is φ = 47523840.

The previous prime is 132505111. The next prime is 132505133. The reversal of 132505120 is 21505231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138564 + ... + 139516.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 2^132505120 is an apocalyptic number.

132505120 is a gapful number since it is divisible by the number (10) 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 132505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

132505120 is an abundant number, since it is smaller than the sum of its proper divisors (213682400).

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

132505120 is a wasteful number, since it uses less digits than its factorization.

132505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 132505120 is about 11511.0868296612. The cubic root of 132505120 is about 509.8129776896.

The spelling of 132505120 in words is "one hundred thirty-two million, five hundred five thousand, one hundred twenty".