132513960 has 128 divisors (see below), whose sum is σ = 414437760. Its totient is φ = 33868800.

The previous prime is 132513893. The next prime is 132513977. The reversal of 132513960 is 69315231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314550 + ... + 314970.

It is an arithmetic number, because the mean of its divisors is an integer number (3237795).

Almost surely, 2^132513960 is an apocalyptic number.

132513960 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 132513960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207218880).

132513960 is an abundant number, since it is smaller than the sum of its proper divisors (281923800).

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

132513960 is a wasteful number, since it uses less digits than its factorization.

132513960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 132513960 is about 11511.4708009012. The cubic root of 132513960 is about 509.8243147270.

The spelling of 132513960 in words is "one hundred thirty-two million, five hundred thirteen thousand, nine hundred sixty".