135082133993664 has 1344 divisors, whose sum is σ = 481006277885952. Its totient is φ = 35679174451200.

The previous prime is 135082133993641. The next prime is 135082133993669. The reversal of 135082133993664 is 466399331280531.

135082133993664 is a `hidden beast` number, since 1 + 3 + 50 + 8 + 2 + 133 + 99 + 366 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (135082133993669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44043733059 + ... + 44043736125.

It is an arithmetic number, because the mean of its divisors is an integer number (357891575808).

Almost surely, 2^{135082133993664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135082133993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240503138942976).

135082133993664 is an abundant number, since it is smaller than the sum of its proper divisors (345924143892288).

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

135082133993664 is a wasteful number, since it uses less digits than its factorization.

135082133993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 135082133993664 in words is "one hundred thirty-five trillion, eighty-two billion, one hundred thirty-three million, nine hundred ninety-three thousand, six hundred sixty-four".