132066074040768 has 588 divisors, whose sum is σ = 458064773134560. Its totient is φ = 37651365126144.

The previous prime is 132066074040767. The next prime is 132066074040773. The reversal of 132066074040768 is 867040470660231.

132066074040768 is a `hidden beast` number, since 1 + 3 + 20 + 6 + 607 + 4 + 0 + 4 + 0 + 7 + 6 + 8 = 666.

132066074040768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-2 number, since 2×132066074040768² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132066074040767) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1058422288 + ... + 1058547056.

Almost surely, 2^{132066074040768} is an apocalyptic number.

132066074040768 is a gapful number since it is divisible by the number (18) 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 132066074040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229032386567280).

132066074040768 is an abundant number, since it is smaller than the sum of its proper divisors (325998699093792).

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

132066074040768 is an equidigital number, since it uses as much as digits as its factorization.

132066074040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125276 (or 125244 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 132066074040768 in words is "one hundred thirty-two trillion, sixty-six billion, seventy-four million, forty thousand, seven hundred sixty-eight".