Heat-sterilizable multilayer film comprising a) a first polymer layer (A) containing at least one polypropylene homopolymer modified with at least one impact modifier; b) a second polymer layer (B) containing: B1) 51% to 68% by weight - based on (B) - of at least one polypropylene terpolymer; B2) 12% to 22% by weight - based on (B) - of at least one styrene block copolymer (SBC) elastomer; B3) 15% to 35% by weight - based on (B) - of at least one propylene-ethylene (block) copolymer, in which - based on (B3) - the proportion of the structural units of ethylene is ≥ 9% by weight, in many cases 9% to 15% by weight; and c) a central polymer layer (C) situated between the first polymer layer (A) and the second polymer layer (B), containing: C1) 20% to 30% by weight - based on (C) - of at least one styrene block copolymer (SBC) elastomer; C2) 15% to 30% by weight - based on (C) - of at least one polyethylene elastomer which is a copolymer of ethylene with an alpha-olefin containing 4 to 12 carbon atoms; C3) 40% to 65% by weight - based on (C) - of at least one propylene-ethylene (block) copolymer, in which - based on (C3) - the proportion of the structural units of ethylene is ≥ 9% by weight, in many cases 9% to 15% by weight. a) a first polymer layer (A) containing at least one polypropylene homopolymer modified with at least one impact modifier; b) a second polymer layer (B) containing: B1) 51% to 68% by weight - based on (B) - of at least one polypropylene terpolymer; B2) 12% to 22% by weight - based on (B) - of at least one styrene block copolymer (SBC) elastomer; B3) 15% to 35% by weight - based on (B) - of at least one propylene-ethylene (block) copolymer, in which - based on (B3) - the proportion of the structural units of ethylene is ≥ 9% by weight, in many cases 9% to 15% by weight; and B1) 51% to 68% by weight - based on (B) - of at least one polypropylene terpolymer; B2) 12% to 22% by weight - based on (B) - of at least one styrene block copolymer (SBC) elastomer; B3) 15% to 35% by weight - based on (B) - of at least one propylene-ethylene (block) copolymer, in which - based on (B3) - the proportion of the structural units of ethylene is ≥ 9% by weight, in many cases 9% to 15% by weight; and c) a central polymer layer (C) situated between the first polymer layer (A) and the second polymer layer (B), containing: C1) 20% to 30% by weight - based on (C) - of at least one styrene block copolymer (SBC) elastomer; C2) 15% to 30% by weight - based on (C) - of at least one polyethylene elastomer which is a copolymer of ethylene with an alpha-olefin containing 4 to 12 carbon atoms; C3) 40% to 65% by weight - based on (C) - of at least one propylene-ethylene (block) copolymer, in which - based on (C3) - the proportion of the structural units of ethylene is ≥ 9% by weight, in many cases 9% to 15% by weight. C1) 20% to 30% by weight - based on (C) - of at least one styrene block copolymer (SBC) elastomer; C2) 15% to 30% by weight - based on (C) - of at least one polyethylene elastomer which is a copolymer of ethylene with an alpha-olefin containing 4 to 12 carbon atoms; C3) 40% to 65% by weight - based on (C) - of at least one propylene-ethylene (block) copolymer, in which - based on (C3) - the proportion of the structural units of ethylene is ≥ 9% by weight, in many cases 9% to 15% by weight. <EOS>