We are still waiting for Solo Leveling Chapter 136 to come out. The latest release of Solo Leveling was 135 released on 2021-01-13 Chapter 135 In the meantime you can get a recap of what happened in the previous chapter below
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If you want to read manga online like Solo Leveling, you can find similar comic with Action genre below. Solo Leveling Chapter 136 released on and created by Sung-Lak Jang .
Solo Leveling. Ten years ago, after the opening of the "Gate" which connected the real world to the monster world, some of the ordinary, everyday people were given the power to hunt monsters inside the Gate. They're known as "Hunters," but not all Hunters are mighty. My name is Sung Jin-Woo, a Hunter with an E-rank. I'm someone in the lowest of dungeons, the "World's Weakest," who will lose his life. With no skills to show, I barely earned the money needed by fighting in low-level dungeons ...