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135238428 = 2232131967227
BaseRepresentation
bin10000000111110…
…01001100011100
3100102110211020200
420003321030130
5234110112203
621230343500
73231336063
oct1003711434
9312424220
10135238428
116a37a6a6
123935ab90
1322030c50
1413d651da
15bd159a3
hex80f931c

135238428 has 144 divisors (see below), whose sum is σ = 395041920. Its totient is φ = 38662272.

The previous prime is 135238423. The next prime is 135238429. The reversal of 135238428 is 824832531.

It is a super-3 number, since 3×1352384283 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135238392 and 135238401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135238421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595651 + ... + 595877.

Almost surely, 2135238428 is an apocalyptic number.

135238428 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 135238428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197520960).

135238428 is an abundant number, since it is smaller than the sum of its proper divisors (259803492).

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

135238428 is a wasteful number, since it uses less digits than its factorization.

135238428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 331 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 135238428 is about 11629.2058198314. The cubic root of 135238428 is about 513.2946109357.

The spelling of 135238428 in words is "one hundred thirty-five million, two hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 67 76 78 114 117 134 156 171 201 227 228 234 247 268 342 402 454 468 494 603 681 684 741 804 871 908 988 1206 1273 1362 1482 1742 2043 2223 2412 2546 2613 2724 2951 2964 3484 3819 4086 4313 4446 5092 5226 5902 7638 7839 8172 8626 8853 8892 10452 11457 11804 12939 15209 15276 15678 16549 17252 17706 22914 25878 26559 30418 31356 33098 35412 38817 45627 45828 49647 51756 53118 56069 60836 66196 77634 91254 99294 106236 112138 136881 148941 155268 168207 182508 197717 198588 224276 273762 288971 297882 336414 395434 504621 547524 577942 593151 595764 672828 790868 866913 1009242 1155884 1186302 1733826 1779453 2018484 2372604 2600739 3467652 3558906 3756623 5201478 7117812 7513246 10402956 11269869 15026492 22539738 33809607 45079476 67619214 135238428