Engaging in the remembrance of Allaah

Is it permissible to engage in the remembrance of Allaah whilst not in a state of wudhoo – such as [when uttering the] takbeer [الله أكبر], tahleel [لا إله إلا الله] and tahmeed [الحمد لله], as well as sending prayers and salutations upon the Messenger (sal-Allaahu ‘alayhi wa sallam)?