132235788748800 has 2304 divisors, whose sum is σ = 524360438784000. Its totient is φ = 29040574464000.

The previous prime is 132235788748783. The next prime is 132235788748823. The reversal of 132235788748800 is 8847887532231.

132235788748800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88570520854 + ... + 88570522346.

It is an arithmetic number, because the mean of its divisors is an integer number (227586996000).

Almost surely, 2^{132235788748800} is an apocalyptic number.

132235788748800 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 132235788748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262180219392000).

132235788748800 is an abundant number, since it is smaller than the sum of its proper divisors (392124650035200).

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

132235788748800 is a wasteful number, since it uses less digits than its factorization.

132235788748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 66.

The spelling of 132235788748800 in words is "one hundred thirty-two trillion, two hundred thirty-five billion, seven hundred eighty-eight million, seven hundred forty-eight thousand, eight hundred".