132966099055296 has 336 divisors, whose sum is σ = 412840527896160. Its totient is φ = 40673530183680.

The previous prime is 132966099055267. The next prime is 132966099055301. The reversal of 132966099055296 is 692550990669231.

132966099055296 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 6 + 6 + 0 + 9 + 90 + 5 + 529 + 6 = 666.

132966099055296 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6327791286 + ... + 6327812298.

It is an arithmetic number, because the mean of its divisors is an integer number (1228692047310).

Almost surely, 2^{132966099055296} is an apocalyptic number.

132966099055296 is a gapful number since it is divisible by the number (16) 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 132966099055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206420263948080).

132966099055296 is an abundant number, since it is smaller than the sum of its proper divisors (279874428840864).

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

132966099055296 is a wasteful number, since it uses less digits than its factorization.

132966099055296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25944 (or 25931 counting only the distinct ones).

The product of its (nonzero) digits is 425152800, while the sum is 72.

The spelling of 132966099055296 in words is "one hundred thirty-two trillion, nine hundred sixty-six billion, ninety-nine million, fifty-five thousand, two hundred ninety-six".