132804 has 72 divisors (see below), whose sum is σ = 419328. Its totient is φ = 34560.

The previous prime is 132763. The next prime is 132817. The reversal of 132804 is 408231.

It is a happy number.

132804 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4269 + ... + 4299.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2¹³²⁸⁰⁴ is an apocalyptic number.

132804 is a gapful number since it is divisible by the number (14) 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 132804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664).

132804 is an abundant number, since it is smaller than the sum of its proper divisors (286524).

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

132804 is a wasteful number, since it uses less digits than its factorization.

132804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132804 is about 364.4228313374. The cubic root of 132804 is about 51.0196003094.

The spelling of 132804 in words is "one hundred thirty-two thousand, eight hundred four".