132289702800 has 240 divisors, whose sum is σ = 429990455040. Its totient is φ = 34761093120.

The previous prime is 132289702789. The next prime is 132289702843. The reversal of 132289702800 is 8207982231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 61903332 + ... + 61905468.

It is an arithmetic number, because the mean of its divisors is an integer number (1791626896).

Almost surely, 2^132289702800 is an apocalyptic number.

132289702800 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 132289702800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214995227520).

132289702800 is an abundant number, since it is smaller than the sum of its proper divisors (297700752240).

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

132289702800 is a wasteful number, since it uses less digits than its factorization.

132289702800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 132289702800 in words is "one hundred thirty-two billion, two hundred eighty-nine million, seven hundred two thousand, eight hundred".