Based on my research, here is my analysis of the claim:

Reasoning:

• The Screwball NBA statistics database confirms Kobe Bryant reached 15,000 career points at age 27 years and 136 days on January 6, 2006¹
• This made him the 4th youngest player in NBA history to reach this milestone at that time¹
• Multiple sources corroborate this exact age: the ClutchPoints social media account also lists "Kobe Bryant- 27 years and 136 days" as the age when he reached 15,000 points²
• Kobe Bryant was born on August 23, 1978, and reached 15,000 points on January 6, 2006, which calculates to exactly 27 years and 136 days¹

Overall validity: 100%

1. Kobe Bryant 27 years, 156 days: Wilt Chamberlain | Facebook
2. Youngest players to reach 15k career points in NBA History: LeBron ...