132393600 has 144 divisors (see below), whose sum is σ = 472513470. Its totient is φ = 35297280.

The previous prime is 132393587. The next prime is 132393617. The reversal of 132393600 is 6393231.

It can be written as a sum of positive squares in 3 ways, for example, as 65415744 + 66977856 = 8088^2 + 8184^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26502 + ... + 31098.

Almost surely, 2^132393600 is an apocalyptic number.

132393600 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 132393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236256735).

132393600 is an abundant number, since it is smaller than the sum of its proper divisors (340119870).

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

132393600 is a wasteful number, since it uses less digits than its factorization.

132393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 132393600 is about 11506.2417843534. The cubic root of 132393600 is about 509.6699132787.

The spelling of 132393600 in words is "one hundred thirty-two million, three hundred ninety-three thousand, six hundred".