132309504 has 160 divisors (see below), whose sum is σ = 415419840. Its totient is φ = 41435136.

The previous prime is 132309503. The next prime is 132309587. The reversal of 132309504 is 405903231.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132309503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 234727 + ... + 235289.

It is an arithmetic number, because the mean of its divisors is an integer number (2596374).

Almost surely, 2^132309504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132309504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207709920).

132309504 is an abundant number, since it is smaller than the sum of its proper divisors (283110336).

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

132309504 is an equidigital number, since it uses as much as digits as its factorization.

132309504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 132309504 is about 11502.5868394896. The cubic root of 132309504 is about 509.5619768444.

The spelling of 132309504 in words is "one hundred thirty-two million, three hundred nine thousand, five hundred four".