135043781106 has 64 divisors (see below), whose sum is σ = 295552696320. Its totient is φ = 40884406080.

The previous prime is 135043781101. The next prime is 135043781179. The reversal of 135043781106 is 601187340531.

135043781106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (135043781101) 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, 2761375 + ... + 2809853.

It is an arithmetic number, because the mean of its divisors is an integer number (4618010880).

Almost surely, 2^135043781106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135043781106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147776348160).

135043781106 is an abundant number, since it is smaller than the sum of its proper divisors (160508915214).

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

135043781106 is a wasteful number, since it uses less digits than its factorization.

135043781106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49071.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 135043781106 in words is "one hundred thirty-five billion, forty-three million, seven hundred eighty-one thousand, one hundred six".