132643044144 has 120 divisors (see below), whose sum is σ = 400142014272. Its totient is φ = 40775408640.

The previous prime is 132643044097. The next prime is 132643044161. The reversal of 132643044144 is 441440346231.

132643044144 is a `hidden beast` number, since 1 + 3 + 2 + 643 + 0 + 4 + 4 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132643044099 and 132643044108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2021289 + ... + 2085879.

Almost surely, 2^132643044144 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 132643044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200071007136).

132643044144 is an abundant number, since it is smaller than the sum of its proper divisors (267498970128).

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

132643044144 is a wasteful number, since it uses less digits than its factorization.

132643044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65715 (or 65706 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 132643044144 in words is "one hundred thirty-two billion, six hundred forty-three million, forty-four thousand, one hundred forty-four".