136713133368 has 512 divisors, whose sum is σ = 470937600000. Its totient is φ = 35882196480.

The previous prime is 136713133367. The next prime is 136713133393. The reversal of 136713133368 is 863331317631.

136713133368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136713133363) 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 127 ways as a sum of consecutive naturals, for example, 133900698 + ... + 133901718.

It is an arithmetic number, because the mean of its divisors is an integer number (919800000).

Almost surely, 2^136713133368 is an apocalyptic number.

136713133368 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 136713133368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235468800000).

136713133368 is an abundant number, since it is smaller than the sum of its proper divisors (334224466632).

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

136713133368 is a wasteful number, since it uses less digits than its factorization.

136713133368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1190 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 136713133368 in words is "one hundred thirty-six billion, seven hundred thirteen million, one hundred thirty-three thousand, three hundred sixty-eight".