132004974400 has 168 divisors, whose sum is σ = 350079772280. Its totient is φ = 48701399040.

The previous prime is 132004974391. The next prime is 132004974571. The reversal of 132004974400 is 4479400231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 80188646976 + 51816327424 = 283176^2 + 227632^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47193802 + ... + 47196598.

Almost surely, 2^132004974400 is an apocalyptic number.

132004974400 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 132004974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175039886140).

132004974400 is an abundant number, since it is smaller than the sum of its proper divisors (218074797880).

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

132004974400 is a wasteful number, since it uses less digits than its factorization.

132004974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 132004974400 in words is "one hundred thirty-two billion, four million, nine hundred seventy-four thousand, four hundred".