You can listen to and often find links to the full OST on the official World of Tanks website or through the World of Tanks YouTube channel.
Since "skachat" (скачать) means download, here is how you can get them onto your phone: rington world of tanks skachat
Wargaming often uploads tracks to Soundcloud, which is a great place to find clean versions of the battle music. Popular Ringtones Ideas Fans usually look for these specific sounds: "Enemy Spotted!" (The iconic "sixth sense" bulb sound). "We've got them!" or "Target destroyed!" voice lines. You can listen to and often find links