132326113200 has 240 divisors, whose sum is σ = 427345936800. Its totient is φ = 35000156160.

The previous prime is 132326113193. The next prime is 132326113217. The reversal of 132326113200 is 2311623231.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 85426026 + ... + 85427574.

It is an arithmetic number, because the mean of its divisors is an integer number (1780608070).

Almost surely, 2^132326113200 is an apocalyptic number.

132326113200 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 132326113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213672968400).

132326113200 is an abundant number, since it is smaller than the sum of its proper divisors (295019823600).

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

132326113200 is a wasteful number, since it uses less digits than its factorization.

132326113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132326113200 its reverse (2311623231), we get a palindrome (134637736431).

The spelling of 132326113200 in words is "one hundred thirty-two billion, three hundred twenty-six million, one hundred thirteen thousand, two hundred".