132672011795712 has 576 divisors, whose sum is σ = 414820145779200. Its totient is φ = 42263115890688.

The previous prime is 132672011795671. The next prime is 132672011795753. The reversal of 132672011795712 is 217597110276231.

132672011795712 is a `hidden beast` number, since 1 + 3 + 2 + 67 + 2 + 0 + 1 + 1 + 7 + 9 + 571 + 2 = 666.

132672011795712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132672011795671) and next prime (132672011795753).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16598521188 + ... + 16598529180.

It is an arithmetic number, because the mean of its divisors is an integer number (720173864200).

Almost surely, 2^{132672011795712} is an apocalyptic number.

132672011795712 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 132672011795712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207410072889600).

132672011795712 is an abundant number, since it is smaller than the sum of its proper divisors (282148133983488).

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

132672011795712 is an frugal number, since it uses more digits than its factorization.

132672011795712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 132672011795712 in words is "one hundred thirty-two trillion, six hundred seventy-two billion, eleven million, seven hundred ninety-five thousand, seven hundred twelve".