135122425995760 has 160 divisors (see below), whose sum is σ = 361137218595840. Its totient is φ = 46057808369664.

The previous prime is 135122425995727. The next prime is 135122425995769. The reversal of 135122425995760 is 67599524221531.

135122425995760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135122425995769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65414109 + ... + 67448131.

It is an arithmetic number, because the mean of its divisors is an integer number (2257107616224).

Almost surely, 2^{135122425995760} is an apocalyptic number.

135122425995760 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 135122425995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180568609297920).

135122425995760 is an abundant number, since it is smaller than the sum of its proper divisors (226014792600080).

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

135122425995760 is a wasteful number, since it uses less digits than its factorization.

135122425995760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034735 (or 2034729 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 61.

The spelling of 135122425995760 in words is "one hundred thirty-five trillion, one hundred twenty-two billion, four hundred twenty-five million, nine hundred ninety-five thousand, seven hundred sixty".