Programmable on-chip terahertz (THz) topological photonic devices are poised to address the rising need for high-capacity data systems, offering broad bandwidth, minimal loss, and reconfigurability. However, current THz topological chips rely on volatile tuning mechanisms that require continuous power to function. Here, a nonvolatile, programmable THz topological silicon chip is demonstrated that integrates a waveguide-cavity coupled system with phase-change material, Ge