132544182144 has 384 divisors, whose sum is σ = 409584672000. Its totient is φ = 37870018560.

The previous prime is 132544182143. The next prime is 132544182187. The reversal of 132544182144 is 441281445231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132544182143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78012207 + ... + 78013905.

It is an arithmetic number, because the mean of its divisors is an integer number (1066626750).

Almost surely, 2^132544182144 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 132544182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204792336000).

132544182144 is an abundant number, since it is smaller than the sum of its proper divisors (277040489856).

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

132544182144 is a wasteful number, since it uses less digits than its factorization.

132544182144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1811 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The spelling of 132544182144 in words is "one hundred thirty-two billion, five hundred forty-four million, one hundred eighty-two thousand, one hundred forty-four".