The antonyms for the word "heaping up" would include words like dispersing, scattering, spreading, distributing, and separating. These words indicate the opposite action of gathering and piling up, suggesting a process of moving things apart and spreading them out. The idea of dispersing is especially opposite to heaping up, as it implies a pattern of spreading things in all directions, in contrast to heaping up which indicates a concentrated mass. Meanwhile, words like distributing and separating suggest a more organized approach to the task, whereas scattering and spreading can be more random and chaotic. Ultimately, the choice of antonym depends on the context and purpose of the task at hand.