138013407807 has 16 divisors (see below), whose sum is σ = 201527903232. Its totient is φ = 83319019520.

The previous prime is 138013407797. The next prime is 138013407823. The reversal of 138013407807 is 708704310831.

It is a happy number.

138013407807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138013407807 - 2⁶ = 138013407743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138013407407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8128143 + ... + 8145104.

It is an arithmetic number, because the mean of its divisors is an integer number (12595493952).

Almost surely, 2^138013407807 is an apocalyptic number.

138013407807 is a deficient number, since it is larger than the sum of its proper divisors (63514495425).

138013407807 is a wasteful number, since it uses less digits than its factorization.

138013407807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16273518.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 138013407807 in words is "one hundred thirty-eight billion, thirteen million, four hundred seven thousand, eight hundred seven".