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135836910 = 232511137209
BaseRepresentation
bin10000001100010…
…11010011101110
3100110121020012200
420012023103232
5234233240120
621251242330
73236410656
oct1006132356
9313536180
10135836910
116a749310
12395a93a6
13221b0491
141407d366
15bdd2e90
hex818b4ee

135836910 has 48 divisors (see below), whose sum is σ = 385285680. Its totient is φ = 32929920.

The previous prime is 135836891. The next prime is 135836917. The reversal of 135836910 is 19638531.

It is a happy number.

135836910 is a `hidden beast` number, since 1 + 3 + 583 + 69 + 10 = 666.

It is a super-2 number, since 2×1358369102 = 36903332236696200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135836917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67615 + ... + 69594.

It is an arithmetic number, because the mean of its divisors is an integer number (8026785).

Almost surely, 2135836910 is an apocalyptic number.

135836910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135836910 is an abundant number, since it is smaller than the sum of its proper divisors (249448770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135836910 is a wasteful number, since it uses less digits than its factorization.

135836910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137233 (or 137230 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 135836910 is about 11654.9092660561. The cubic root of 135836910 is about 514.0506720270.

The spelling of 135836910 in words is "one hundred thirty-five million, eight hundred thirty-six thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 137209 274418 411627 686045 823254 1234881 1372090 1509299 2058135 2469762 3018598 4116270 4527897 6174405 7546495 9055794 12348810 13583691 15092990 22639485 27167382 45278970 67918455 135836910