Peperomia glabrirhachis is a species of epiphyte in the genus Peperomia that is native to Peru. It grows on wet tropical biomes. Its conservation status is Threatened.
The type specimen were collected near Huancabamba, Peru.
Peperomia glabrirhachis is a moderately small, stoloniferous, tufted herb. The stem is 1âÂÂ2 mm thick, angled, and sparsely covered with retrorse hairs. The leaves are in whorls of about 4 at the nodes. They are somewhat rhombic-elliptic to obovate, obtuse, with an acute base, measuring 10 mm long and 5âÂÂ6 mm wide. The leaves are 1-nerved, revolute, sparsely pubescent beneath, and have a papillose-rugose texture on both surfaces. The petiole is barely 1 mm long. The terminal spikes are 15 mm long and 1 mm thick, glabrous, and borne on a filiform, velvety peduncle about as long as the spike itself. The floral bracts are round-peltate.
It was described in 1936 by William Trelease in ', from specimens collected by Frank Lincoln Stevens. The epithet glabrirhachis is derived from the Latin glaber and rhachis, referring to the glabrous flower spikes.
It is native to Peru. It grows as a epiphyte and is a herb. It grows on wet tropical biomes.
This species is assessed as Threatened, in a preliminary report.