1) hard to do, to take, to approach
2) hard to bear, troublesome, dangerous
2a) harsh, fierce, savage
Part of Speech: adjective
Perhaps from G5465 through the idea of reducing the strength; difficult, that is, dangerous, or (by implication) furious: - fierce, perilous.
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root χαλεπός; click on the second column to search for that grammatical form of the root χαλεπός; click on the third column to search for that word and grammatical form; click on the total to search for the root χαλεπός.