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135339414 = 237173747109
BaseRepresentation
bin10000001000100…
…01110110010110
3100102122221202220
420010101312112
5234121330124
621232443210
73232236360
oct1004216626
9312587686
10135339414
116a439561
12393a9506
1322067bc2
1413d8dd30
15bd35879
hex8111d96

135339414 has 128 divisors (see below), whose sum is σ = 346705920. Its totient is φ = 34338816.

The previous prime is 135339371. The next prime is 135339427. The reversal of 135339414 is 414933531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241592 + ... + 1241700.

It is an arithmetic number, because the mean of its divisors is an integer number (2708640).

Almost surely, 2135339414 is an apocalyptic number.

135339414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135339414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173352960).

135339414 is an abundant number, since it is smaller than the sum of its proper divisors (211366506).

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

135339414 is a wasteful number, since it uses less digits than its factorization.

135339414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222.

The product of its digits is 19440, while the sum is 33.

The square root of 135339414 is about 11633.5469225856. The cubic root of 135339414 is about 513.4223425609.

The spelling of 135339414 in words is "one hundred thirty-five million, three hundred thirty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 47 51 74 94 102 109 111 119 141 218 222 238 259 282 327 329 357 518 629 654 658 714 763 777 799 987 1258 1526 1554 1598 1739 1853 1887 1974 2289 2397 3478 3706 3774 4033 4403 4578 4794 5123 5217 5559 5593 8066 8806 10246 10434 11118 11186 12099 12173 12971 13209 15369 16779 24198 24346 25942 26418 28231 29563 30738 33558 35861 36519 38913 56462 59126 68561 71722 73038 77826 84693 87091 88689 107583 137122 169386 174182 177378 189551 205683 206941 215166 261273 379102 411366 413882 479927 522546 568653 609637 620823 959854 1137306 1219274 1241646 1326857 1439781 1828911 2653714 2879562 3222367 3657822 3980571 6444734 7961142 9667101 19334202 22556569 45113138 67669707 135339414