132804000 has 576 divisors, whose sum is σ = 588736512. Its totient is φ = 27648000.

The previous prime is 132803987. The next prime is 132804011. The reversal of 132804000 is 408231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4283985 + ... + 4284015.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 2^132804000 is an apocalyptic number.

132804000 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 132804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294368256).

132804000 is an abundant number, since it is smaller than the sum of its proper divisors (455932512).

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

132804000 is a wasteful number, since it uses less digits than its factorization.

132804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

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

The square root of 132804000 is about 11524.0617839371. The cubic root of 132804000 is about 510.1960030939.

The spelling of 132804000 in words is "one hundred thirty-two million, eight hundred four thousand".