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135910008 = 233313291669
BaseRepresentation
bin10000001100111…
…01001001111000
3100110201221111000
420012131021320
5234243110013
621253005000
73240134043
oct1006351170
9313657430
10135910008
116a799223
1239623760
1322207830
141409bc5a
15bde9973
hex819d278

135910008 has 128 divisors (see below), whose sum is σ = 420840000. Its totient is φ = 40352256.

The previous prime is 135910003. The next prime is 135910051. The reversal of 135910008 is 800019531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135910001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80598 + ... + 82266.

Almost surely, 2135910008 is an apocalyptic number.

135910008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135910008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210420000).

135910008 is an abundant number, since it is smaller than the sum of its proper divisors (284929992).

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

135910008 is a wasteful number, since it uses less digits than its factorization.

135910008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 135910008 is about 11658.0447760334. The cubic root of 135910008 is about 514.1428642934.

Adding to 135910008 its reverse (800019531), we get a palindrome (935929539).

The spelling of 135910008 in words is "one hundred thirty-five million, nine hundred ten thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 87 104 108 116 117 156 174 216 232 234 261 312 348 351 377 468 522 696 702 754 783 936 1044 1131 1404 1508 1566 1669 2088 2262 2808 3016 3132 3338 3393 4524 5007 6264 6676 6786 9048 10014 10179 13352 13572 15021 20028 20358 21697 27144 30042 40056 40716 43394 45063 48401 60084 65091 81432 86788 90126 96802 120168 130182 145203 173576 180252 193604 195273 260364 290406 360504 387208 390546 435609 520728 580812 585819 629213 781092 871218 1161624 1171638 1258426 1306827 1562184 1742436 1887639 2343276 2516852 2613654 3484872 3775278 4686552 5033704 5227308 5662917 7550556 10454616 11325834 15101112 16988751 22651668 33977502 45303336 67955004 135910008