135700260254000 has 320 divisors, whose sum is σ = 354038937557760. Its totient is φ = 50009044377600.

The previous prime is 135700260253991. The next prime is 135700260254011. The reversal of 135700260254000 is 452062007531.

135700260254000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51265680677 + ... + 51265683323.

It is an arithmetic number, because the mean of its divisors is an integer number (1106371679868).

Almost surely, 2^{135700260254000} is an apocalyptic number.

135700260254000 is a gapful number since it is divisible by the number (10) 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 135700260254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177019468778880).

135700260254000 is an abundant number, since it is smaller than the sum of its proper divisors (218338677303760).

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

135700260254000 is a wasteful number, since it uses less digits than its factorization.

135700260254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 135700260254000 in words is "one hundred thirty-five trillion, seven hundred billion, two hundred sixty million, two hundred fifty-four thousand".