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135805 = 5157173
BaseRepresentation
bin100001001001111101
320220021211
4201021331
513321210
62524421
71103635
oct411175
9226254
10135805
119303a
1266711
1349a77
14376c5
152a38a
hex2127d

135805 has 8 divisors (see below), whose sum is σ = 164952. Its totient is φ = 107328.

The previous prime is 135799. The next prime is 135829. The reversal of 135805 is 508531.

135805 = 1122 + 1132 + ... + 1212.

135805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 109561 = 162^2 + 331^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135805 - 217 = 4733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (20619).

2135805 is an apocalyptic number.

It is an amenable number.

135805 is a deficient number, since it is larger than the sum of its proper divisors (29147).

135805 is a wasteful number, since it uses less digits than its factorization.

135805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 135805 is about 368.5172994582. The cubic root of 135805 is about 51.4010416298.

The spelling of 135805 in words is "one hundred thirty-five thousand, eight hundred five".

Divisors: 1 5 157 173 785 865 27161 135805