132788645094144 has 432 divisors, whose sum is σ = 396664945592832. Its totient is φ = 39391756664832.

The previous prime is 132788645094139. The next prime is 132788645094173. The reversal of 132788645094144 is 441490546887231.

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, 408552562 + ... + 408877454.

It is an arithmetic number, because the mean of its divisors is an integer number (918205892576).

It is a 1-persistent number, because it is pandigital, but 2⋅132788645094144 = 265577290188288 is not.

Almost surely, 2^{132788645094144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132788645094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198332472796416).

132788645094144 is an abundant number, since it is smaller than the sum of its proper divisors (263876300498688).

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

132788645094144 is a wasteful number, since it uses less digits than its factorization.

132788645094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325052 (or 325025 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 132788645094144 in words is "one hundred thirty-two trillion, seven hundred eighty-eight billion, six hundred forty-five million, ninety-four thousand, one hundred forty-four".