135941961760 has 96 divisors (see below), whose sum is σ = 350476543872. Its totient is φ = 49416929280.

The previous prime is 135941961739. The next prime is 135941961823. The reversal of 135941961760 is 67169149531.

135941961760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135941961698 and 135941961707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6073149 + ... + 6095491.

It is an arithmetic number, because the mean of its divisors is an integer number (3650797332).

Almost surely, 2^135941961760 is an apocalyptic number.

135941961760 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 135941961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175238271936).

135941961760 is an abundant number, since it is smaller than the sum of its proper divisors (214534582112).

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

135941961760 is a wasteful number, since it uses less digits than its factorization.

135941961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25826 (or 25818 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 135941961760 in words is "one hundred thirty-five billion, nine hundred forty-one million, nine hundred sixty-one thousand, seven hundred sixty".