132704 has 48 divisors (see below), whose sum is σ = 317520. Its totient is φ = 53760.

The previous prime is 132701. The next prime is 132707. The reversal of 132704 is 407231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132701) and next prime (132707).

It is a super-2 number, since 2×132704² = 35220703232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4562 + ... + 4590.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2¹³²⁷⁰⁴ 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 132704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760).

132704 is an abundant number, since it is smaller than the sum of its proper divisors (184816).

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

132704 is a wasteful number, since it uses less digits than its factorization.

132704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 132704 is about 364.2856022409. The cubic root of 132704 is about 51.0067913550.

Adding to 132704 its reverse (407231), we get a palindrome (539935).

The spelling of 132704 in words is "one hundred thirty-two thousand, seven hundred four".