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135202284 = 2235731641
BaseRepresentation
bin10000000111100…
…00010111101100
3100102101222200000
420003300113230
5234102433114
621225504300
73231125520
oct1003602754
9312358600
10135202284
116a355528
1239342090
132201a669
1413d55d80
15bd09e09
hex80f05ec

135202284 has 144 divisors (see below), whose sum is σ = 418768896. Its totient is φ = 37324800.

The previous prime is 135202279. The next prime is 135202313. The reversal of 135202284 is 482202531.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent 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, 210604 + ... + 211244.

Almost surely, 2135202284 is an apocalyptic number.

135202284 is a gapful number since it is divisible by the number (14) 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 135202284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209384448).

135202284 is an abundant number, since it is smaller than the sum of its proper divisors (283566612).

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

135202284 is a wasteful number, since it uses less digits than its factorization.

135202284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 135202284 is about 11627.6516975699. The cubic root of 135202284 is about 513.2488789305.

The spelling of 135202284 in words is "one hundred thirty-five million, two hundred two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 243 252 279 324 372 378 434 486 558 567 641 651 756 837 868 972 1116 1134 1282 1302 1674 1701 1923 1953 2268 2511 2564 2604 3348 3402 3846 3906 4487 5022 5769 5859 6804 7533 7692 7812 8974 10044 11538 11718 13461 15066 17307 17577 17948 19871 23076 23436 26922 30132 34614 35154 39742 40383 51921 52731 53844 59613 69228 70308 79484 80766 103842 105462 119226 121149 139097 155763 161532 178839 207684 210924 238452 242298 278194 311526 357678 363447 417291 484596 536517 556388 623052 715356 726894 834582 1073034 1090341 1251873 1453788 1609551 1669164 2146068 2180682 2503746 3219102 3755619 4361364 4828653 5007492 6438204 7511238 9657306 11266857 15022476 19314612 22533714 33800571 45067428 67601142 135202284