Pentax KP has a Pentax KAF2 lens mount and currently there are 150 native lenses available for this mount.
KP also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on KP.
Since Pentax KP has a APS-C sensor, it has a focal length multiplier of 1.5× so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on KP.
You may also also be interested in these:
Pentax KP Lenses with Image Stabilization
Pentax KP Lenses with Weather Sealings