The strip is a lot funnier if you know the background of the character:
(from the Cast page on the linked site)
"Hannelore is the slightly creepy upstairs neighbor of Marten and Faye. She has severe Obsessive Compulsive Disorder. Counts things for a living. She repeatedly falls asleep on Marten's couch, but otherwise she's a chronic insomniac. She may or may not be stalking Marten."
Also, her father lives on a space station and her mother is a corporate raider (takes over companies and sells off all of their assets). Her mother occasionally sends her boxes of documents to go through for whichever company she's about to take over next. She spends all of her time cleaning her apartment.
There's even a t-shirt:
