Sum Overlapping Base Pairs of Features from Chromosomal BED File

I had a .bed file of genomic features on a chromosome that I wanted to figure out the extent of overlap of the features to investigate commonly covered genes as well as positions where features were likely to form.  I wanted to generate a plot similar to a coverage depth plot from next-generation sequencing reads.  I am sure more efficient methods exist, but here is some Python code that takes in a .bed file of features (features.bed) and creates an output file (features.depth) with the feature overlap "depth" every 5,000 base pairs across the areas which contain features in your chromosomal .bed file.