135781723116 has 192 divisors, whose sum is σ = 382791951360. Its totient is φ = 41374333440.

The previous prime is 135781723109. The next prime is 135781723141. The reversal of 135781723116 is 611327187531.

135781723116 is a `hidden beast` number, since 1 + 3 + 578 + 1 + 72 + 3 + 1 + 1 + 6 = 666.

135781723116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139836511 + ... + 139837481.

It is an arithmetic number, because the mean of its divisors is an integer number (1993708080).

Almost surely, 2^135781723116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135781723116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191395975680).

135781723116 is an abundant number, since it is smaller than the sum of its proper divisors (247010228244).

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

135781723116 is a wasteful number, since it uses less digits than its factorization.

135781723116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1853 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The spelling of 135781723116 in words is "one hundred thirty-five billion, seven hundred eighty-one million, seven hundred twenty-three thousand, one hundred sixteen".