138340306566 has 256 divisors, whose sum is σ = 393698672640. Its totient is φ = 34964784000.

The previous prime is 138340306553. The next prime is 138340306567. The reversal of 138340306566 is 665603043831.

138340306566 is a `hidden beast` number, since 1 + 3 + 83 + 4 + 0 + 3 + 0 + 6 + 566 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138340306567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35370151 + ... + 35374061.

It is an arithmetic number, because the mean of its divisors is an integer number (1537885440).

Almost surely, 2^138340306566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138340306566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196849336320).

138340306566 is an abundant number, since it is smaller than the sum of its proper divisors (255358366074).

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

138340306566 is a wasteful number, since it uses less digits than its factorization.

138340306566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 138340306566 in words is "one hundred thirty-eight billion, three hundred forty million, three hundred six thousand, five hundred sixty-six".