Base | Representation |
---|---|

bin | 10000000000000… |

… | …00000000000000 |

3 | 100100112222002222 |

4 | 20000000000000 |

5 | 233324431403 |

6 | 21152430212 |

7 | 3216555221 |

oct | 1000000000 |

9 | 310488088 |

10 | 134217728 |

11 | 69842847 |

12 | 38b48368 |

13 | 21a64498 |

14 | 13b7b248 |

15 | bbb3338 |

hex | 8000000 |

134217728 has 28 divisors (see below), whose sum is σ = 268435455. Its totient is φ = 67108864.

The previous prime is 134217689. The next prime is 134217757. The reversal of 134217728 is 827712431.

The cubic root of 134217728 is 512.

It is a perfect power (a cube, a 9-th power, a 27-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{27}.

It can be written as a sum of positive squares in only one way, i.e., 67108864 + 67108864 = 8192^2 + 8192^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=8, B=8.

It is a Duffinian number.

Its product of digits (18816) is a multiple of the sum of its prime divisors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is an unprimeable number.

In principle, a polygon with 134217728 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^{134217728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134217728

134217728 is a deficient number, since it is larger than the sum of its proper divisors (134217727).

134217728 is an frugal number, since it uses more digits than its factorization.

134217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 2 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 134217728 is about 11585.2375029604.

The spelling of 134217728 in words is "one hundred thirty-four million, two hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728

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