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133 is the number following 132 and preceding 134[1].

Properties[]

  • 133 is an octagonal number.[10]
  • 133 is deficient.[11]
  • Its prime factorization is 71 × 191.
  • It is both a Hogben number and an octagonal number.
  • It is also an idoneal number.
  • Furthermore, it is the first number n, such that πn is larger than the first noncanonical -illion.
  • It’s a product of two different odd primes (7 and 19), so it’s an odd squarefree semiprime.
  • And the exceptional Lie algebra E7 has dimension 133.

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 5 ↑ 3
Scientific notation 1.33 x 102 1.331 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(3)\) \(g_{\omega^{\omega}}(4)\)
Copy notation 1[3] 2[3]
Chained arrow notation 5 → 3
Bowers' Exploding Array Function/Bird's array notation {5,3}
Fast-growing hierarchy f1(65) f1(66)
Hardy hierarchy Hω(66) Hω(67)
Middle-growing hierarchy m(ω,7) m(ω,8)
Hyper-E notation E2.1239
Hyper-E notation (non-10 base) \(E[5]3\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 5{1}3
Steinhaus-Moser Notation 3[3] 4[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.3) H(-0.2)
Bashicu matrix system with respect to version 4 (0)[11] (0)[12]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(65)\) \(s(1)(\lambda x . x+1)(66)\)

Sources[]