135011920321728 has 336 divisors, whose sum is σ = 416806589946240. Its totient is φ = 41630215790592.

The previous prime is 135011920321723. The next prime is 135011920321757. The reversal of 135011920321728 is 827123029110531.

135011920321728 is a `hidden beast` number, since 1 + 3 + 501 + 1 + 92 + 0 + 32 + 1 + 7 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (135011920321721) 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 47 ways as a sum of consecutive naturals, for example, 290404083 + ... + 290868621.

Almost surely, 2^{135011920321728} is an apocalyptic number.

135011920321728 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 135011920321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208403294973120).

135011920321728 is an abundant number, since it is smaller than the sum of its proper divisors (281794669624512).

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

135011920321728 is a wasteful number, since it uses less digits than its factorization.

135011920321728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465084 (or 465071 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 135011920321728 in words is "one hundred thirty-five trillion, eleven billion, nine hundred twenty million, three hundred twenty-one thousand, seven hundred twenty-eight".