132791166144 has 672 divisors, whose sum is σ = 479771195904. Its totient is φ = 34188410880.

The previous prime is 132791166133. The next prime is 132791166163. The reversal of 132791166144 is 441661197231.

132791166144 is a `hidden beast` number, since 1 + 3 + 27 + 9 + 1 + 1 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132791166144.

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 95 ways as a sum of consecutive naturals, for example, 569919052 + ... + 569919284.

It is an arithmetic number, because the mean of its divisors is an integer number (713945232).

Almost surely, 2^132791166144 is an apocalyptic number.

132791166144 is a gapful number since it is divisible by the number (14) 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 132791166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239885597952).

132791166144 is an abundant number, since it is smaller than the sum of its proper divisors (346980029760).

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

132791166144 is a wasteful number, since it uses less digits than its factorization.

132791166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 132791166144 in words is "one hundred thirty-two billion, seven hundred ninety-one million, one hundred sixty-six thousand, one hundred forty-four".