132000872400 has 600 divisors, whose sum is σ = 512380598400. Its totient is φ = 32418385920.

The previous prime is 132000872387. The next prime is 132000872449. The reversal of 132000872400 is 4278000231.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×132000872400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25885051 + ... + 25890149.

It is an arithmetic number, because the mean of its divisors is an integer number (853967664).

Almost surely, 2^132000872400 is an apocalyptic number.

132000872400 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 132000872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256190299200).

132000872400 is an abundant number, since it is smaller than the sum of its proper divisors (380379726000).

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

132000872400 is a wasteful number, since it uses less digits than its factorization.

132000872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 132000872400 its reverse (4278000231), we get a palindrome (136278872631).

The spelling of 132000872400 in words is "one hundred thirty-two billion, eight hundred seventy-two thousand, four hundred".