  Experimental realizations of topological quantum systems and detections of
topological invariants in ultracold atomic systems have been a greatly
attractive topic. In this work, we propose a scheme to realize topologically
different phases in a bichromatic optical lattice subjected to a periodically
driven tilt harmonic oscillation, which can be effectively described by a
superlattice model with tunable long-range hopping processes. By tuning the
ratio of nearest-neighbor (NN) and next-nearest-neighbor (NNN) hopping
amplitudes, the system undergoes a topological phase transition accompanied by
the change of topological numbers of the lowest band from -1 to 2. Using a
slowly time-periodic modulation, the system emerges distinct quantized
topological pumped charges (TPCs) of atoms in the filled band for different
topological phases. Our scheme is realizable in current cold atomic technique.
