138338305 has 32 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 91783680.

The previous prime is 138338293. The next prime is 138338309. The reversal of 138338305 is 503833831.

It is a happy number.

It is not a de Polignac number, because 138338305 - 2²⁷ = 4120577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138338309) 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, 213492 + ... + 214138.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^138338305 is an apocalyptic number.

It is an amenable number.

138338305 is a deficient number, since it is larger than the sum of its proper divisors (57616895).

138338305 is a wasteful number, since it uses less digits than its factorization.

138338305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849.

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 138338305 is about 11761.7305274352. The cubic root of 138338305 is about 517.1868612089.

The spelling of 138338305 in words is "one hundred thirty-eight million, three hundred thirty-eight thousand, three hundred five".