132106003200 has 324 divisors, whose sum is σ = 480326366520. Its totient is φ = 34630287360.

The previous prime is 132106003181. The next prime is 132106003261. The reversal of 132106003200 is 2300601231.

132106003200 is a `hidden beast` number, since 1 + 32 + 1 + 0 + 600 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3378964 + ... + 3417836.

Almost surely, 2^132106003200 is an apocalyptic number.

132106003200 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 132106003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240163183260).

132106003200 is an abundant number, since it is smaller than the sum of its proper divisors (348220363320).

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

132106003200 is a wasteful number, since it uses less digits than its factorization.

132106003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38964 (or 38942 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132106003200 its reverse (2300601231), we get a palindrome (134406604431).

The spelling of 132106003200 in words is "one hundred thirty-two billion, one hundred six million, three thousand, two hundred".