132663600 has 180 divisors, whose sum is σ = 471635736. Its totient is φ = 34513920.

The previous prime is 132663599. The next prime is 132663607. The reversal of 132663600 is 6366231.

132663600 is a `hidden beast` number, since 1 + 3 + 26 + 636 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (132663607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154372 + ... + 155228.

Almost surely, 2^132663600 is an apocalyptic number.

132663600 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 132663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235817868).

132663600 is an abundant number, since it is smaller than the sum of its proper divisors (338972136).

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

132663600 is a wasteful number, since it uses less digits than its factorization.

132663600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 132663600 is about 11517.9685708896. The cubic root of 132663600 is about 510.0161471243.

The spelling of 132663600 in words is "one hundred thirty-two million, six hundred sixty-three thousand, six hundred".