Collocations for heater - noun

convector (BrE), fan (esp. BrE), storage (BrE)
portable
electric, gas, kerosene (esp. AmE), oil, paraffin (BrE)
greenhouse, pool, room, space (AmE), water
hot-water (esp. AmE), immersion (BrE)

have off, have on
turn off, turn on
turn down, turn up
install

be off, be on
Even with the heater full on, the room felt cold.