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135263205 = 325711103379
BaseRepresentation
bin10000000111111…
…11001111100101
3100102112002020100
420003333033211
5234111410310
621231054313
73231501240
oct1003771745
9312462210
10135263205
116a397280
1239371399
132203c2cc
1413d70257
15bd1cec0
hex80ff3e5

135263205 has 96 divisors (see below), whose sum is σ = 295925760. Its totient is φ = 55520640.

The previous prime is 135263197. The next prime is 135263287. The reversal of 135263205 is 502362531.

It is not a de Polignac number, because 135263205 - 23 = 135263197 is a prime.

It is a super-2 number, since 2×1352632052 = 36592269253744050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356706 + ... + 357084.

It is an arithmetic number, because the mean of its divisors is an integer number (3082560).

Almost surely, 2135263205 is an apocalyptic number.

135263205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135263205 is an abundant number, since it is smaller than the sum of its proper divisors (160662555).

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

135263205 is a wasteful number, since it uses less digits than its factorization.

135263205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135263205 is about 11630.2710630492. The cubic root of 135263205 is about 513.3259558824.

The spelling of 135263205 in words is "one hundred thirty-five million, two hundred sixty-three thousand, two hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 103 105 165 231 309 315 379 385 495 515 693 721 927 1133 1137 1155 1545 1895 2163 2653 3399 3411 3465 3605 4169 4635 5665 5685 6489 7931 7959 10197 10815 12507 13265 16995 17055 20845 23793 23877 29183 32445 37521 39037 39655 39795 50985 62535 71379 87549 117111 118965 119385 145915 187605 195185 262647 273259 351333 356895 429407 437745 585555 819777 1288221 1313235 1366295 1756665 2147035 2459331 3005849 3864663 4098885 6441105 9017547 12296655 15029245 19323315 27052641 45087735 135263205