132029312800 has 288 divisors, whose sum is σ = 423002926080. Its totient is φ = 38985753600.

The previous prime is 132029312783. The next prime is 132029312869. The reversal of 132029312800 is 8213920231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113997 + ... + 1226803.

It is an arithmetic number, because the mean of its divisors is an integer number (1468760160).

Almost surely, 2^132029312800 is an apocalyptic number.

132029312800 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 132029312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211501463040).

132029312800 is an abundant number, since it is smaller than the sum of its proper divisors (290973613280).

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

132029312800 is a wasteful number, since it uses less digits than its factorization.

132029312800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112864 (or 112851 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 132029312800 in words is "one hundred thirty-two billion, twenty-nine million, three hundred twelve thousand, eight hundred".