Ok. Earth is between 7,899.8 (pole to pole) to 7,926.4 (equator through the center to equator) miles. People comfortably walk at about 3mph. This gets you between 2,633 to 2,642 hours. That would be basically 110 days or just less than 4 months.
Of course, this assumes you never stopped walking and kept at the same speed.
