135768377682 has 96 divisors (see below), whose sum is σ = 343219468800. Its totient is φ = 38771732160.

The previous prime is 135768377671. The next prime is 135768377683. The reversal of 135768377682 is 286773867531.

135768377682 is a `hidden beast` number, since 135 + 76 + 8 + 377 + 68 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135768377683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16486638 + ... + 16494870.

It is an arithmetic number, because the mean of its divisors is an integer number (3575202800).

Almost surely, 2^135768377682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135768377682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171609734400).

135768377682 is an abundant number, since it is smaller than the sum of its proper divisors (207451091118).

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

135768377682 is a wasteful number, since it uses less digits than its factorization.

135768377682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10933 (or 10916 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 135768377682 in words is "one hundred thirty-five billion, seven hundred sixty-eight million, three hundred seventy-seven thousand, six hundred eighty-two".