132164275200 has 264 divisors, whose sum is σ = 451879835280. Its totient is φ = 34027929600.

The previous prime is 132164275189. The next prime is 132164275223. The reversal of 132164275200 is 2572461231.

132164275200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2197530 + ... + 2256870.

Almost surely, 2^132164275200 is an apocalyptic number.

132164275200 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 132164275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225939917640).

132164275200 is an abundant number, since it is smaller than the sum of its proper divisors (319715560080).

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

132164275200 is a wasteful number, since it uses less digits than its factorization.

132164275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59403 (or 59380 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 132164275200 in words is "one hundred thirty-two billion, one hundred sixty-four million, two hundred seventy-five thousand, two hundred".