There have been 19 Presidents since the accession of Theodore Roosevelt to the Presidency in 1901, upon the assassination of William McKinley.
Some have been activists, hard workers, dynamos, who saw the Presidency as a position that required constant attention, and avoided much vacation time, but even when on vacation, these activist Presidents were always working and alert to changing events.
Among the 19 modern Presidents, the following 11 Presidents would qualify as part of the activist category:
Franklin D. Roosevelt
John F. Kennedy
Lyndon B. Johnson
George H. W. Bush
The other 8 Presidents since 1901 were much more passive, avoided work, were quite frankly lazy, and took lots of vacation time, often were not alert to changing events, and delegated authority to others:
William Howard Taft
Warren G. Harding
Dwight D. Eisenhower
George W. Bush
Note that all eight passive Presidents were Republicans, while only Theodore Roosevelt, Richard Nixon and George H. W. Bush were activist Republicans, joining the 8 Democratic Presidents in that category!
Also, note that the eleven activist Presidents all were highly intelligent and curious about the world around them, while the eight passive Presidents were generally less naturally intelligent, with the exceptions of William Howard Taft and Herbert Hoover, both highly intellectual and accomplished, although both were seen as unsuccessful in office, and defeated for reelection!