AMC 10A 2021 Spring Problem 16

In the following list of numbers, the integer n appears n times in the list for 1 \leq n \leq 200.

1,2,2,3,3,3,4,4,4,4, \ldots, 200,200, \ldots, 200

What is the median of the numbers in this list?

Answer Choices
A. 100.5
B. 134
C. 142
D. 150.5
E. 167