132813804682944 has 2016 divisors, whose sum is σ = 513918826896384. Its totient is φ = 33613580206080.

The previous prime is 132813804682813. The next prime is 132813804682997. The reversal of 132813804682944 is 449286408318231.

132813804682944 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 3 + 80 + 468 + 2 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 109132131424 + ... + 109132132640.

It is an arithmetic number, because the mean of its divisors is an integer number (254920053024).

Almost surely, 2^{132813804682944} is an apocalyptic number.

132813804682944 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 132813804682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256959413448192).

132813804682944 is an abundant number, since it is smaller than the sum of its proper divisors (381105022213440).

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

132813804682944 is a wasteful number, since it uses less digits than its factorization.

132813804682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 132813804682944 in words is "one hundred thirty-two trillion, eight hundred thirteen billion, eight hundred four million, six hundred eighty-two thousand, nine hundred forty-four".