Been awhile since I posted a Presidential Fun Fact, so here's one about Coolidge...
One day, he happened to discover a panic button on the White House porch, so he pretended to be tired and leaned against it. Nonchalantly, he went into the White House and watched from behind the curtain as two guards came running to the scene. They found nothing, of course, and returned to the guardhouse. He amused himself by pushing the button two more times in the same manner.