132580800 has 504 divisors, whose sum is σ = 550298112. Its totient is φ = 31104000.

The previous prime is 132580793. The next prime is 132580801. The reversal of 132580800 is 8085231.

It is a happy number.

132580800 is a `hidden beast` number, since 1 + 3 + 2 + 580 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132580801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4276785 + ... + 4276815.

Almost surely, 2^132580800 is an apocalyptic number.

132580800 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 132580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275149056).

132580800 is an abundant number, since it is smaller than the sum of its proper divisors (417717312).

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

132580800 is a wasteful number, since it uses less digits than its factorization.

132580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 132580800 is about 11514.3736260380. The cubic root of 132580800 is about 509.9100187273.

The spelling of 132580800 in words is "one hundred thirty-two million, five hundred eighty thousand, eight hundred".