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135522114 = 23713261313
BaseRepresentation
bin10000001001111…
…10011101000010
3100110000020101120
420010332131002
5234143201424
621240413110
73233630130
oct1004763502
9313006346
10135522114
116a553852
1239477196
1322100100
1413dda750
15bd6ea79
hex813e742

135522114 has 96 divisors (see below), whose sum is σ = 342013824. Its totient is φ = 35043840.

The previous prime is 135522089. The next prime is 135522131. The reversal of 135522114 is 411225531.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432822 + ... + 433134.

It is an arithmetic number, because the mean of its divisors is an integer number (3562644).

Almost surely, 2135522114 is an apocalyptic number.

135522114 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 135522114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171006912).

135522114 is an abundant number, since it is smaller than the sum of its proper divisors (206491710).

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

135522114 is a wasteful number, since it uses less digits than its factorization.

135522114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 135522114 is about 11641.3965657046. The cubic root of 135522114 is about 513.6532683539.

Adding to 135522114 its reverse (411225531), we get a palindrome (546747645).

The spelling of 135522114 in words is "one hundred thirty-five million, five hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 169 182 183 273 313 338 366 427 507 546 626 793 854 939 1014 1183 1281 1586 1878 2191 2366 2379 2562 3549 4069 4382 4758 5551 6573 7098 8138 10309 11102 12207 13146 16653 19093 20618 24414 28483 30927 33306 38186 52897 56966 57279 61854 72163 85449 105794 114558 133651 144326 158691 170898 216489 248209 267302 317382 370279 400953 432978 496418 740558 744627 801906 1110837 1489254 1737463 2221674 3226717 3474926 5212389 6453434 9680151 10424778 19360302 22587019 45174038 67761057 135522114