135052050121350 has 192 divisors, whose sum is σ = 346947713925120. Its totient is φ = 34729774531200.

The previous prime is 135052050121349. The next prime is 135052050121421. The reversal of 135052050121350 is 53121050250531.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7056370081 + ... + 7056389219.

It is an arithmetic number, because the mean of its divisors is an integer number (1807019343360).

Almost surely, 2^{135052050121350} is an apocalyptic number.

135052050121350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135052050121350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173473856962560).

135052050121350 is an abundant number, since it is smaller than the sum of its proper divisors (211895663803770).

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

135052050121350 is a wasteful number, since it uses less digits than its factorization.

135052050121350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24435 (or 24430 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 135052050121350 in words is "one hundred thirty-five trillion, fifty-two billion, fifty million, one hundred twenty-one thousand, three hundred fifty".