132585800 has 192 divisors, whose sum is σ = 356227200. Its totient is φ = 45619200.

The previous prime is 132585799. The next prime is 132585821. The reversal of 132585800 is 8585231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3233780 + ... + 3233820.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^132585800 is an apocalyptic number.

132585800 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 132585800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

132585800 is an abundant number, since it is smaller than the sum of its proper divisors (223641400).

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

132585800 is a wasteful number, since it uses less digits than its factorization.

132585800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 132585800 is about 11514.5907439214. The cubic root of 132585800 is about 509.9164287003.

The spelling of 132585800 in words is "one hundred thirty-two million, five hundred eighty-five thousand, eight hundred".