Chao Zhao ,Ryuichi Sugimoto, and Yusuke Naruoka claimed obtaining ultra-high molecular weight polystyrene (> 1.0 × 107) by emulsion polymerization of the monomer using radical initiation. I have never heard of a polystyrene having M.Wt higher than that. Please see:
Article A Simple Method for Synthesizing Ultra-high-molecular-weight...
As PS standards can be obtained via living anionic polymerization strategies, the question should be "when will living PS chains terminate"? In a non-polar solvent - like cyclohexane - it is possible to prepare narrowly distributed PS homopolymers with molar masses of 1x10^7 g/mol. Moreover, recent synthetic efforts revealed that even block copolymers featuring similar molar masses can be obtained.
High molecular weight polystyrene (PS) was synthesized by ATRP. Under atmospheric pressure (1 bar), PS with Mn up to 200,000 was prepared using either ARGET or ICAR ATRP. Under high pressure (6 kbar), higher molecular weight PS could be obtained due to accelerated radical propagation and diminished radical termination in polymerization of styrene. Therefore, it was possible to synthesize PS with Mn > 1,000,000 and Mw/Mn < 1.25 using AGET ATRP under a pressure of 6 kbar at room temperature. This is the highest molecular weight linear PS prepared by a controlled radical polymerization.