132804600 has 96 divisors (see below), whose sum is σ = 413478000. Its totient is φ = 35261440.

The previous prime is 132804557. The next prime is 132804647. The reversal of 132804600 is 6408231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233116 + ... + 233684.

Almost surely, 2^132804600 is an apocalyptic number.

132804600 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 132804600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739000).

132804600 is an abundant number, since it is smaller than the sum of its proper divisors (280673400).

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

132804600 is a wasteful number, since it uses less digits than its factorization.

132804600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132804600 is about 11524.0878163957. The cubic root of 132804600 is about 510.1967714370.

The spelling of 132804600 in words is "one hundred thirty-two million, eight hundred four thousand, six hundred".