132084775200 has 576 divisors, whose sum is σ = 511455264768. Its totient is φ = 28972339200.

The previous prime is 132084775189. The next prime is 132084775201. The reversal of 132084775200 is 2577480231.

It is not an unprimeable number, because it can be changed into a prime (132084775201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66140602 + ... + 66142598.

It is an arithmetic number, because the mean of its divisors is an integer number (887943168).

Almost surely, 2^132084775200 is an apocalyptic number.

132084775200 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 132084775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255727632384).

132084775200 is an abundant number, since it is smaller than the sum of its proper divisors (379370489568).

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

132084775200 is a wasteful number, since it uses less digits than its factorization.

132084775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 132084775200 in words is "one hundred thirty-two billion, eighty-four million, seven hundred seventy-five thousand, two hundred".