132245225100 has 180 divisors, whose sum is σ = 428938133008. Its totient is φ = 35244720000.

The previous prime is 132245225041. The next prime is 132245225107. The reversal of 132245225100 is 1522542231.

132245225100 is a `hidden beast` number, since 1 + 32 + 2 + 4 + 522 + 5 + 100 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132245225107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17986425 + ... + 17993775.

Almost surely, 2^132245225100 is an apocalyptic number.

132245225100 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 132245225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214469066504).

132245225100 is an abundant number, since it is smaller than the sum of its proper divisors (296692907908).

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

132245225100 is a wasteful number, since it uses less digits than its factorization.

132245225100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9598 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 132245225100 its reverse (1522542231), we get a palindrome (133767767331).

The spelling of 132245225100 in words is "one hundred thirty-two billion, two hundred forty-five million, two hundred twenty-five thousand, one hundred".