But the Iranians make Trump madder than North Korean leader Kim Jong-un does - not because they are more risky, but because they refuse to play along with him.
That in turn prompted Iranian Foreign Minister Mohammad Javad Zarif on Monday to urge the USA president himself to "be cautious".
"The world heard even harsher bluster a few months ago", Zarif wrote in a tweet. "And Iranians have heard them - albeit more civilized ones - for 40 yrs", he said. "COLOR US UNIMPRESSED", Zarif said, adding that "we've been around for millennia & seen fall of empires, incl our own, which lasted more than the life of some countries".
Rouhani, of course, wasn't threatening to attack the USA but warning it against attacking Iran.
Iran on Monday dismissed Trump's angry warning that Tehran risked dire consequences "the like of which few throughout history have suffered before" if it made threats against the United States. Speculation was that this was an attempt to replicate the United States strategy in North Korea, where threats were followed with successful diplomacy.
Like Trump, Pompeo is a longstanding critic of the nuclear deal.More news: Alphabet soars to record after earnings wallop expectations
Iranian Supreme Leader Ayatollah Ali Khamenei on Saturday supported Rouhani's suggestion of blocking oil shipments through the Persian Gulf if Iran is prevented from selling its oil by USA sanctions which come into effect in November. The Iranian leaders - both Rouhani and Ayatollah Ali Khamenei - have recently said that if Iran is not allowed to export oil, other Persian Gulf nations won't be able to do that, either.
Mr Leilaz said he was not "worried about the remarks and tweets", and that "neither Iran, nor any other country is interested in escalating tensions in the region".
In her view, the Obama administration was so determined to reach a nuclear deal with Iran that it ended up ignoring protesters inside the country.
The secretary accused Supreme Leader Ayatollah Ali Khamenei, Iran's head of state, of maintaining a personal off-the-books hedge fund worth $95 billion.
But some of Iran's neighbors who are US allies clearly support putting pressure on Iran.
"The US and Saudi Arabia and the Arab world with all their money and all their might could not dent Iran and the country was victorious in the long struggle, all alone they were able to take on the whole world at that time, so I don't know why Trump threatens a country like that", said the former lawmaker.