132828165000 has 240 divisors, whose sum is σ = 451247039100. Its totient is φ = 35285952000.

The previous prime is 132828164929. The next prime is 132828165023. The reversal of 132828165000 is 561828231.

It is a happy number.

132828165000 is a `hidden beast` number, since 1 + 328 + 281 + 6 + 50 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 32233893444 + 100594271556 = 179538^2 + 317166^2 .

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 59 ways as a sum of consecutive naturals, for example, 12099514 + ... + 12110486.

Almost surely, 2^132828165000 is an apocalyptic number.

132828165000 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 132828165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225623519550).

132828165000 is an abundant number, since it is smaller than the sum of its proper divisors (318418874100).

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

132828165000 is a wasteful number, since it uses less digits than its factorization.

132828165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274 (or 11252 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 132828165000 in words is "one hundred thirty-two billion, eight hundred twenty-eight million, one hundred sixty-five thousand".