132056262144 has 560 divisors, whose sum is σ = 416055049344. Its totient is φ = 41803776000.

The previous prime is 132056262139. The next prime is 132056262167. The reversal of 132056262144 is 441262650231.

132056262144 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 626 + 21 + 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 = 132056262099 and 132056262108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1168639432 + ... + 1168639544.

Almost surely, 2^132056262144 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 132056262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208027524672).

132056262144 is an abundant number, since it is smaller than the sum of its proper divisors (283998787200).

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

132056262144 is an equidigital number, since it uses as much as digits as its factorization.

132056262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 132056262144 in words is "one hundred thirty-two billion, fifty-six million, two hundred sixty-two thousand, one hundred forty-four".