132048065501688 has 128 divisors (see below), whose sum is σ = 381665379110400. Its totient is φ = 37290511171584.

The previous prime is 132048065501687. The next prime is 132048065501699. The reversal of 132048065501688 is 886105560840231.

132048065501688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132048065501687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7263031 + ... + 17800217.

It is an arithmetic number, because the mean of its divisors is an integer number (2981760774300).

Almost surely, 2^{132048065501688} 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 132048065501688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190832689555200).

132048065501688 is an abundant number, since it is smaller than the sum of its proper divisors (249617313608712).

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

132048065501688 is a wasteful number, since it uses less digits than its factorization.

132048065501688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538069 (or 10538065 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 132048065501688 in words is "one hundred thirty-two trillion, forty-eight billion, sixty-five million, five hundred one thousand, six hundred eighty-eight".