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126136551161552 = 241918131764711177
BaseRepresentation
bin11100101011100001110100…
…010100110011111011010000
3121112121112111010102022122112
4130223201310110303323100
5113013110124044132202
61124134155345124452
735366031216341141
oct3453416424637320
9545545433368575
10126136551161552
1137211235837398
1212192137929728
13554c819986139
142321082409ac8
15e8b17b65bb52
hex72b874533ed0

126136551161552 has 160 divisors (see below), whose sum is σ = 259913781953280. Its totient is φ = 59134508421120.

The previous prime is 126136551161527. The next prime is 126136551161587. The reversal of 126136551161552 is 255161155631621.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 126136551161552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11285361788 + ... + 11285372964.

It is an arithmetic number, because the mean of its divisors is an integer number (1624461137208).

Almost surely, 2126136551161552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126136551161552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129956890976640).

126136551161552 is an abundant number, since it is smaller than the sum of its proper divisors (133777230791728).

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

126136551161552 is a wasteful number, since it uses less digits than its factorization.

126136551161552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12349 (or 12343 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 50.

The spelling of 126136551161552 in words is "one hundred twenty-six trillion, one hundred thirty-six billion, five hundred fifty-one million, one hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 76 152 181 304 317 362 634 647 724 1268 1294 1448 2536 2588 2896 3439 5072 5176 6023 6878 10352 11177 12046 12293 13756 22354 24092 24586 27512 44708 48184 49172 55024 57377 89416 96368 98344 114754 117107 178832 196688 205099 212363 229508 234214 410198 424726 459016 468428 820396 849452 918032 936856 1090163 1640792 1698904 1873712 2023037 2180326 2225033 3281584 3397808 3543109 3896881 4046074 4360652 4450066 7086218 7231519 7793762 8092148 8721304 8900132 14172436 14463038 15587524 16184296 17442608 17800264 28344872 28926076 31175048 32368592 35600528 37122919 38437703 56689744 57852152 62350096 67319071 74245838 76875406 115704304 134638142 137398861 148491676 153750812 269276284 274797722 296983352 307501624 538552568 549595444 593966704 615003248 641302729 705335461 1077105136 1099190888 1282605458 1308904939 1410670922 2198381776 2292391523 2565210916 2617809878 2821341844 4584783046 5130421832 5235619756 5642683688 9169566092 10260843664 10471239512 11285367376 12184751851 18339132184 20942479024 24369503702 24869193841 36678264368 43555438937 48739007404 49738387682 87110877874 97478014808 99476775364 174221755748 194956029616 198953550728 348443511496 397907101456 414922865663 696887022992 829845731326 1659691462652 3319382925304 6638765850608 7883534447597 15767068895194 31534137790388 63068275580776 126136551161552