By reassembling thin isolated atomic planes of hexagonal borum nitride (hBN) with a few layer phosphorene (black phosphorus (BP), hBN/BP/hBN heterostructures are mechanically stacked to devise high-efficiency THz photodetectors operating in the 0.3-0.65 THz range, from 4 K to 300 K, with a record signal-to-noise ratio of 20 000.