The given sequence is:

\[ 1, 8, 27, 64, 125 \]

These numbers are the cubes of the natural numbers:

\[
1^3 = 1,\quad 2^3 = 8,\quad 3^3 = 27,\quad 4^3 = 64,\quad 5^3 = 125
\]

The next number would be:

\[
6^3 = 216
\]

So, the next number in the sequence is **216**.

Would you like more details or have any other questions? Here are some related questions:

1. What is the formula for the \(n\)th term in a sequence of cubes?
2. How do you recognize a sequence of cubes?
3. Can you explain the difference between arithmetic and geometric sequences?
4. What are perfect squares, and how do they relate to this sequence?
5. What is the next number in the sequence \(2, 4, 8, 16, 32\)?

**Tip:** Recognizing patterns in sequences often involves looking at common mathematical operations like addition, multiplication, or powers.

Discover how to find the next number in the sequence 1 8 27 64 125, which are cubes of natural numbers. Learn about sequences and cubes in mathematics. Suitable for students in Grades 7-9.

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