were there any natural traps that acted as its threat?
Yes, asphalt seeps and the Talara Tar Seeps
Smilodon
asphalt seeps 
when did the saber toothed cat become extinct It became extinct 10,000 years ago in the Quaternary extinction event. what is smilodon? is a genus of the extinct machairodont subfamily of the felids. how does it look like? It is well-developed forelimbs and exceptionally long upper canine teeth and its jaw has a bigger gape than that of modern cats. how did it get its name? Lund named it Smilodon populator which the Ancient Greek meaning of "Smilodon" as ("smilē"), "scalpel" or "two-edged knife", and "οδόντος" ("odontús"), "tooth". how friendly is their behavior with humans? UNANSWERABLE where can these creatures be widely found? Fossils were found in parts of North America, South America and as far as north Alberta, Canada. what do they feed on? They fed on peccary "Platygonus" and the llama-like "Hemiauchenia", bison, tapirs, deer etc
wiki:5317055
Smilodon [SEP] Natural traps
Many "Smilodon" specimens have been excavated from asphalt seeps that acted as natural carnivore traps. Animals were accidentally trapped in the seeps and became bait for predators that came to scavenge, but these were then trapped themselves. The best-known of such traps are at La Brea in Los Angeles, which have produced over 166,000 "Smilodon fatalis" specimens that form the largest collection in the world. The sediments of the pits there were accumulated 40,000 to 10,000 years ago, in the Late Pleistocene. Though the trapped animals were buried quickly, predators often managed to remove limb bones from them, but they were themselves often trapped and then scavenged by other predators; 90% of the excavated bones belonged to predators.