As a president he has yet to show his mark. He has none of the powers and competences of a prime-minister. The president acts more like a national conscience and a referee. His opponents claimed he lacked the political... agility or savyness, if there is such a word. That he knows of numbers, but numbers are not the business of the president.
He has a good test now. The parliament passed a series of laws regarding assisted pregnancy, aprooved by all the parties on the left, but a "pro-life" sort of citizens movement gathered 75000 signatures to contest the law, and wish him to veto it, or order a referendum. We'll see how he deals with it.
What is the limit? In Hungary, which has 10 million citizens just like Portugal, but the limit is 100,000 valid signatures for Parliament to consider a vote, and 200,000 for automatic referendum. *Lunatic*, n. One whose delusions are out of fashion.