Has an AFL game ever ended 138-109?
Exactly once. On June 3, 1967, Sydney beat St Kilda 138-109, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 138-109 in league history.
That makes 138-109 the 3836th most common final score out of 6,607 that have ever occurred in AFL. One point away, 139-109 has happened 2 times and 138-110 has happened 1 times.