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135316818 = 23471367137
BaseRepresentation
bin10000001000011…
…00010101010010
3100102121210210000
420010030111102
5234120114233
621232150430
73232113450
oct1004142522
9312553700
10135316818
116a42358a
1239398416
132205a830
1413d859d0
15bd2dd13
hex810c552

135316818 has 160 divisors (see below), whose sum is σ = 381515904. Its totient is φ = 34898688.

The previous prime is 135316817. The next prime is 135316859. The reversal of 135316818 is 818613531.

It is not an unprimeable number, because it can be changed into a prime (135316817) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 987646 + ... + 987782.

Almost surely, 2135316818 is an apocalyptic number.

135316818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135316818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190757952).

135316818 is an abundant number, since it is smaller than the sum of its proper divisors (246199086).

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

135316818 is a wasteful number, since it uses less digits than its factorization.

135316818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 135316818 is about 11632.5757250920. The cubic root of 135316818 is about 513.3937676454.

The spelling of 135316818 in words is "one hundred thirty-five million, three hundred sixteen thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 67 78 81 91 117 126 134 137 162 182 189 201 234 273 274 351 378 402 411 469 546 567 603 702 819 822 871 938 959 1053 1134 1206 1233 1407 1638 1742 1781 1809 1918 2106 2457 2466 2613 2814 2877 3562 3618 3699 4221 4914 5226 5343 5427 5754 6097 7371 7398 7839 8442 8631 9179 10686 10854 11097 12194 12467 12663 14742 15678 16029 17262 18291 18358 22194 23517 24934 25326 25893 27537 32058 36582 37401 37989 47034 48087 51786 54873 55074 64253 70551 74802 75978 77679 82611 96174 109746 112203 119327 128506 141102 144261 155358 164619 165222 192759 224406 238654 247833 288522 329238 336609 357981 385518 493857 495666 578277 673218 715962 743499 835289 987714 1009827 1073943 1156554 1486998 1670578 1734831 2019654 2147886 2505867 3221829 3469662 5011734 5204493 6443658 7517601 9665487 10408986 15035202 19330974 22552803 45105606 67658409 135316818