132644512000000 has 2688 divisors, whose sum is σ = 460497330558720. Its totient is φ = 36864000000000.

The previous prime is 132644511999947. The next prime is 132644512000067. The reversal of 132644512000000 is 215446231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1313311999950 + ... + 1313312000050.

It is an arithmetic number, because the mean of its divisors is an integer number (171315971190).

Almost surely, 2^{132644512000000} is an apocalyptic number.

132644512000000 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 132644512000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230248665279360).

132644512000000 is an abundant number, since it is smaller than the sum of its proper divisors (327852818558720).

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

132644512000000 is an equidigital number, since it uses as much as digits as its factorization.

132644512000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 132644512000000 its reverse (215446231), we get a palindrome (132644727446231).

The spelling of 132644512000000 in words is "one hundred thirty-two trillion, six hundred forty-four billion, five hundred twelve million", and thus it is an aban number.