132115656672 has 144 divisors (see below), whose sum is σ = 398020083552. Its totient is φ = 41425551360.

The previous prime is 132115656623. The next prime is 132115656677. The reversal of 132115656672 is 276656511231.

132115656672 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 15 + 6 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132115656677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10574013 + ... + 10586499.

It is an arithmetic number, because the mean of its divisors is an integer number (2764028358).

Almost surely, 2^132115656672 is an apocalyptic number.

132115656672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132115656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199010041776).

132115656672 is an abundant number, since it is smaller than the sum of its proper divisors (265904426880).

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

132115656672 is a wasteful number, since it uses less digits than its factorization.

132115656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14681 (or 14670 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 132115656672 in words is "one hundred thirty-two billion, one hundred fifteen million, six hundred fifty-six thousand, six hundred seventy-two".