135784708693568 has 224 divisors, whose sum is σ = 315745455587328. Its totient is φ = 57252993638400.

The previous prime is 135784708693559. The next prime is 135784708693573. The reversal of 135784708693568 is 865396807487531.

It is a super-2 number, since 2×135784708693568² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135784708693492 and 135784708693501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259839521 + ... + 260361567.

Almost surely, 2^{135784708693568} 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 135784708693568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157872727793664).

135784708693568 is an abundant number, since it is smaller than the sum of its proper divisors (179960746893760).

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

135784708693568 is a wasteful number, since it uses less digits than its factorization.

135784708693568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522401 (or 522391 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 80.

The spelling of 135784708693568 in words is "one hundred thirty-five trillion, seven hundred eighty-four billion, seven hundred eight million, six hundred ninety-three thousand, five hundred sixty-eight".