132542612561664 has 432 divisors, whose sum is σ = 398924760858624. Its totient is φ = 43889660006400.

The previous prime is 132542612561663. The next prime is 132542612561687. The reversal of 132542612561664 is 466165216245231.

132542612561664 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 2 + 6 + 12 + 5 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 132542612561664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132542612561663) 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, 9184568529 + ... + 9184582959.

It is an arithmetic number, because the mean of its divisors is an integer number (923436946432).

Almost surely, 2^{132542612561664} 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 132542612561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199462380429312).

132542612561664 is an abundant number, since it is smaller than the sum of its proper divisors (266382148296960).

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

132542612561664 is an equidigital number, since it uses as much as digits as its factorization.

132542612561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15426 (or 15400 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 132542612561664 in words is "one hundred thirty-two trillion, five hundred forty-two billion, six hundred twelve million, five hundred sixty-one thousand, six hundred sixty-four".