Hallowed means to make holy; or to show as holy; or to regard as holy.
The second of these is God's hallowing of His Name. The third is men's.
The prayer asks that God would so act as to show the holiness of His
character, and that men, one and all, may see the holiness of His
character.
i.e. Hallowed by divine self-revelation.
Hallowed by human recognition.
Hallowed by human adoration and appropriate sentiments.
Hallowed by human action.