The noun 盛名 (shèngmíng) means "great fame" or "high reputation" and is used to describe someone or something widely known and highly regarded. It is a literary and formal expression often found in written Chinese and cultural discussions.
这所大学享有盛名,吸引了世界各地的学生。
zhè suǒ dàxué xiǎngyǒu shèngmíng, xīyǐn le shìjiè gèdì de xuéshēng.
This university enjoys great fame and attracts students from all over the world.
他在国际音乐界久负盛名。
tā zài guójì yīnyuè jiè jiǔ fù shèngmíng.
He has long been renowned in the international music world.
这家餐厅盛名在外,每天都要排队。
zhè jiā cāntīng shèngmíng zài wài, měi tiān dōu yào páiduì.
This restaurant is famous far and wide, and there's a line every day.