132875064 has 72 divisors (see below), whose sum is σ = 418635360. Its totient is φ = 37963296.

The previous prime is 132875011. The next prime is 132875069. The reversal of 132875064 is 460578231.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132875069) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15304 + ... + 22359.

It is an arithmetic number, because the mean of its divisors is an integer number (5814380).

Almost surely, 2^132875064 is an apocalyptic number.

132875064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132875064 is an abundant number, since it is smaller than the sum of its proper divisors (285760296).

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

132875064 is a wasteful number, since it uses less digits than its factorization.

132875064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37689 (or 37675 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 132875064 is about 11527.1446594549. The cubic root of 132875064 is about 510.2869895693.

The spelling of 132875064 in words is "one hundred thirty-two million, eight hundred seventy-five thousand, sixty-four".