The ornamental design for an inhalerhousing, as shown and described.
FIG. 1 is a first perspective view of an inhaler housing showing our new design;
FIG. 2 is a second perspective view thereof;
FIG. 3 is a third perspective view thereof;
FIG. 4 is an end perspective view thereof showing our design in a second position;
FIG. 5 is another perspective view thereof; and,
FIG. 6 is a further perspective view thereof.
The broken line showing of interior parts and a pressurized container is for the purpose of illustrating environmental structure and forms no part of the claimed design.