132601100 has 72 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 51166720.

The previous prime is 132601099. The next prime is 132601151. The reversal of 132601100 is 1106231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418142 + ... + 418458.

It is an arithmetic number, because the mean of its divisors is an integer number (4140360).

Almost surely, 2^132601100 is an apocalyptic number.

132601100 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 132601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149052960).

132601100 is an abundant number, since it is smaller than the sum of its proper divisors (165504820).

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

132601100 is a wasteful number, since it uses less digits than its factorization.

132601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 132601100 is about 11515.2550992151. The cubic root of 132601100 is about 509.9360422166.

Adding to 132601100 its reverse (1106231), we get a palindrome (133707331).

The spelling of 132601100 in words is "one hundred thirty-two million, six hundred one thousand, one hundred".