135050696945280 has 1792 divisors, whose sum is σ = 535764390487200. Its totient is φ = 32383545901056.

The previous prime is 135050696945267. The next prime is 135050696945291. The reversal of 135050696945280 is 82549696050531.

135050696945280 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 506 + 9 + 6 + 9 + 45 + 2 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5340647048256 + 129710049897024 = 2310984^2 + 11389032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 22311362734 + ... + 22311368786.

Almost surely, 2^{135050696945280} is an apocalyptic number.

135050696945280 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 135050696945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267882195243600).

135050696945280 is an abundant number, since it is smaller than the sum of its proper divisors (400713693541920).

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

135050696945280 is an equidigital number, since it uses as much as digits as its factorization.

135050696945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 135050696945280 in words is "one hundred thirty-five trillion, fifty billion, six hundred ninety-six million, nine hundred forty-five thousand, two hundred eighty".