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135123002224 = 24753611033623
BaseRepresentation
bin111110111010111110…
…1010110001101110000
3110220202221202201111221
41331311331112031300
54203212442032344
6142024042514424
712522321365620
oct1756575261560
9426687681457
10135123002224
115233a459571
1222230505a14
13c98536b9b2
14677ba28880
1537ac9b5184
hex1f75f56370

135123002224 has 160 divisors (see below), whose sum is σ = 312938256384. Its totient is φ = 55327933440.

The previous prime is 135123002219. The next prime is 135123002269. The reversal of 135123002224 is 422200321531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37294077 + ... + 37297699.

Almost surely, 2135123002224 is an apocalyptic number.

135123002224 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 135123002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156469128192).

135123002224 is an abundant number, since it is smaller than the sum of its proper divisors (177815254160).

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

135123002224 is a wasteful number, since it uses less digits than its factorization.

135123002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 135123002224 its reverse (422200321531), we get a palindrome (557323323755).

The spelling of 135123002224 in words is "one hundred thirty-five billion, one hundred twenty-three million, two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 61 103 106 112 122 206 212 244 371 412 424 427 488 721 742 824 848 854 976 1442 1484 1648 1708 2884 2968 3233 3416 3623 5459 5768 5936 6283 6466 6832 7246 10918 11536 12566 12932 14492 21836 22631 25132 25361 25864 28984 38213 43672 43981 45262 50264 50722 51728 57968 76426 87344 87962 90524 100528 101444 152852 175924 181048 192019 202888 221003 305704 332999 351848 362096 373169 384038 405776 442006 611408 665998 703696 746338 768076 884012 1331996 1344133 1492676 1536152 1547021 1768024 2330993 2612183 2663992 2688266 2985352 3072304 3094042 3536048 4661986 5224366 5327984 5376532 5970704 6188084 9323972 10448732 10753064 11713159 12376168 18647944 19777957 20897464 21506128 22763309 23426318 24752336 37295888 39555914 41794928 45526618 46852636 79111828 81992113 91053236 93705272 138445699 158223656 159343163 163984226 182106472 187410544 276891398 316447312 318686326 327968452 364212944 553782796 637372652 655936904 1107565592 1206455377 1274745304 1311873808 2215131184 2412910754 2549490608 4825821508 8445187639 9651643016 16890375278 19303286032 33780750556 67561501112 135123002224