132009105228 has 768 divisors, whose sum is σ = 455196672000. Its totient is φ = 29235548160.

The previous prime is 132009105209. The next prime is 132009105229. The reversal of 132009105228 is 822501900231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (132009105229) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 790473601 + ... + 790473767.

It is an arithmetic number, because the mean of its divisors is an integer number (592704000).

Almost surely, 2^132009105228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132009105228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227598336000).

132009105228 is an abundant number, since it is smaller than the sum of its proper divisors (323187566772).

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

132009105228 is a wasteful number, since it uses less digits than its factorization.

132009105228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 132009105228 in words is "one hundred thirty-two billion, nine million, one hundred five thousand, two hundred twenty-eight".