If you don't claim the offer at the time of your first deposit, you can do so at any time within 30 days of registering your account. Simply log in to your account, go to the Account menu, choose My Offers then click Claim Now for the relevant offer.
The sign-up bonus from bet365 is available to new customers only. Once you create an account, enter a qualifying deposit of at least $10 to activate the 'bet $5, get $150 in bonus bets' promotion. Claim this offer within 30 days of registering your online sportsbook account to qualify.