Final answer:
155 years after Hammurabi's death, the Hittites conquered Babylon in 1595 BCE, ending the dynasty and paving the way for Kassite control.
Step-by-step explanation:
The event that occurred 155 years after King Hammurabi's death was the conquest of Babylon by the Hittites. Hammurabi's empire significantly diminished in size after his death, and despite the efforts of his successors, the Babylonian Empire was eventually sacked by the Hittites in 1595 BCE. This event marked the end of Hammurabi's dynasty and brought about a change in power, with the Kassites ultimately taking control and establishing a dynasty that would last nearly 500 years.