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134217729 = 341987211
BaseRepresentation
bin10000000000000…
…00000000000001
3100100112222010000
420000000000001
5233324431404
621152430213
73216555222
oct1000000001
9310488100
10134217729
1169842848
1238b48369
1321a64499
1413b7b249
15bbb3339
hex8000001

134217729 has 20 divisors (see below), whose sum is σ = 211053040. Its totient is φ = 84768120.

The previous prime is 134217689. The next prime is 134217757. The reversal of 134217729 is 927712431.

134217729 is nontrivially palindromic in base 2 and base 8.

It is a Cunningham number, because it is equal to 227+1.

It is not a de Polignac number, because 134217729 - 211 = 134215681 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 134217693 and 134217702.

It is not an unprimeable number, because it can be changed into a prime (134217779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42067 + ... + 45144.

It is an arithmetic number, because the mean of its divisors is an integer number (10552652).

It is a Proth number, since it is equal to 1 ⋅ 227 + 1 and 1 < 227.

Almost surely, 2134217729 is an apocalyptic number.

134217729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

134217729 is a deficient number, since it is larger than the sum of its proper divisors (76835311).

134217729 is an equidigital number, since it uses as much as digits as its factorization.

134217729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87242 (or 87233 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 134217729 is about 11585.2375461188. The cubic root of 134217729 is about 512.0000012716. Note that the first 5 decimals are identical.

The spelling of 134217729 in words is "one hundred thirty-four million, two hundred seventeen thousand, seven hundred twenty-nine".

Divisors: 1 3 9 19 27 57 81 171 513 1539 87211 261633 784899 1657009 2354697 4971027 7064091 14913081 44739243 134217729