138141351306 has 24 divisors (see below), whose sum is σ = 342064298784. Its totient is φ = 39468957480.

The previous prime is 138141351281. The next prime is 138141351311. The reversal of 138141351306 is 603153141831.

138141351306 is a `hidden beast` number, since 138 + 1 + 4 + 1 + 3 + 513 + 0 + 6 = 666.

138141351306 is digitally balanced in base 2, 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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548179840 + ... + 548180091.

It is an arithmetic number, because the mean of its divisors is an integer number (14252679116).

Almost surely, 2^138141351306 is an apocalyptic number.

138141351306 is an abundant number, since it is smaller than the sum of its proper divisors (203922947478).

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

138141351306 is a wasteful number, since it uses less digits than its factorization.

138141351306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096359946 (or 1096359943 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 138141351306 in words is "one hundred thirty-eight billion, one hundred forty-one million, three hundred fifty-one thousand, three hundred six".