135103085568 has 308 divisors, whose sum is σ = 441764429208. Its totient is φ = 40937840640.

The previous prime is 135103085561. The next prime is 135103085587. The reversal of 135103085568 is 865580301531.

135103085568 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 3 + 0 + 85 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135103085561) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8203230 + ... + 8219682.

Almost surely, 2^135103085568 is an apocalyptic number.

135103085568 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 135103085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220882214604).

135103085568 is an abundant number, since it is smaller than the sum of its proper divisors (306661343640).

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

135103085568 is an equidigital number, since it uses as much as digits as its factorization.

135103085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16502 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 135103085568 in words is "one hundred thirty-five billion, one hundred three million, eighty-five thousand, five hundred sixty-eight".