132198235200 has 756 divisors, whose sum is σ = 499485819924. Its totient is φ = 33140736000.

The previous prime is 132198235109. The next prime is 132198235237. The reversal of 132198235200 is 2532891231.

132198235200 is a `hidden beast` number, since 1 + 3 + 21 + 98 + 23 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 40054418496 + 92143816704 = 200136^2 + 303552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 567374284 + ... + 567374516.

It is an arithmetic number, because the mean of its divisors is an integer number (660695529).

Almost surely, 2^132198235200 is an apocalyptic number.

132198235200 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 132198235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249742909962).

132198235200 is an abundant number, since it is smaller than the sum of its proper divisors (367287584724).

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

132198235200 is a wasteful number, since it uses less digits than its factorization.

132198235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 132198235200 in words is "one hundred thirty-two billion, one hundred ninety-eight million, two hundred thirty-five thousand, two hundred".