153
153 is a narcissistic number — 1³ + 5³ + 3³ = 153 — and also the 17th triangular number.
- Odd
- Composite
Where 153 fits
Why 153 is special
153 is the richest of the three-digit narcissistic numbers: raising each of its own digits to the power of three and adding them returns 153 itself, and it is simultaneously triangular (the sum of every whole number from 1 to 17). Separately, the Gospel of John's account of a miraculous catch specifies 153 fish, which has made the number a subject of long-standing commentary within Christian tradition.
Factors & digit properties
- Divisors (6)
- 1, 3, 9, 17, 51, 153
- Prime factorisation
- 3^2 × 17
- Digit sum
- 9
- Digital root
- 9
Representations
- Decimal
- 153
- Binary
- 10011001
- Octal
- 231
- Hexadecimal
- 99
- Roman numeral
- CLIII
- Scientific notation
- 1.530 × 10^2
Other mathematical patterns
- Triangular number
- Deficient number
- Narcissistic (Armstrong) number
- Hexagonal number
- Harshad (Niven) number
Related numbers & connections
153 is 9 × 17 — and, relatedly, the 17th triangular number (the sum of 1 through 17).
View 17 →Mathematically related
- has multiple17
why?
Strength 0.50, confidence "high".
Religion & belief
The Gospel of John (21:11) specifies that the disciples' catch numbered 153 fish — an unusually precise figure in the text that has attracted centuries of commentary within Christian tradition, with no single interpretation regarded as settled.
DocumentedReligion & beliefCulture: Christian tradition
Mathematics
153 is a narcissistic (Armstrong) number: the sum of the cubes of its own digits returns the number itself, 1³ + 5³ + 3³ = 1 + 125 + 27 = 153. It is also the 17th triangular number, the sum of every whole number from 1 to 17.
DocumentedMathematics
Common questions
Is 153 a prime number?
No, 153 is not prime.
What are the factors of 153?
The factors of 153 are 1, 3, 9, 17, 51, 153.
What is 153 in Roman numerals?
153 in Roman numerals is CLIII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 30 July 2026