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135241140201232 = 24134146749996793
BaseRepresentation
bin11110110000000001001000…
…000111101110011100010000
3122201211221000120221212020011
4132300001020013232130100
5120211242323342414412
61155344531101524304
740325564346311362
oct3660011007563420
9581757016855204
10135241140201232
113a101499a06a9a
1213202780273694
135a60253005b50
1425579c57d8d32
151097debd9d7a7
hex7b00481ee710

135241140201232 has 160 divisors (see below), whose sum is σ = 289788014880000. Its totient is φ = 60745074647040.

The previous prime is 135241140201229. The next prime is 135241140201239. The reversal of 135241140201232 is 232102041142531.

It is a junction number, because it is equal to n+sod(n) for n = 135241140201194 and 135241140201203.

It is not an unprimeable number, because it can be changed into a prime (135241140201239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19908894028 + ... + 19908900820.

It is an arithmetic number, because the mean of its divisors is an integer number (1811175093000).

Almost surely, 2135241140201232 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 135241140201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144894007440000).

135241140201232 is an abundant number, since it is smaller than the sum of its proper divisors (154546874678768).

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

135241140201232 is a wasteful number, since it uses less digits than its factorization.

135241140201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12321 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 135241140201232 its reverse (232102041142531), we get a palindrome (367343181343763).

The spelling of 135241140201232 in words is "one hundred thirty-five trillion, two hundred forty-one billion, one hundred forty million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 467 533 656 934 1066 1868 2132 3736 4264 4999 6071 6793 7472 8528 9998 12142 13586 19147 19996 24284 27172 38294 39992 48568 54344 64987 76588 79984 88309 97136 108688 129974 153176 176618 204959 248911 259948 278513 306352 353236 409918 497822 519896 557026 706472 819836 995644 1039792 1114052 1412944 1639672 1991288 2228104 2334533 2664467 3172331 3279344 3620669 3982576 4456208 4669066 5328934 6344662 7241338 9338132 10657868 12689324 14482676 18676264 21315736 25378648 28965352 30348929 33958207 37352528 41240303 42631472 50757296 57930704 60697858 67916414 82480606 95715853 121395716 130065571 135832828 164961212 191431706 242791432 260131142 271665656 329922424 382863412 441456691 485582864 520262284 543331312 659844848 765726824 882913382 1040524568 1244306089 1392286487 1531453648 1690852423 1765826764 2081049136 2488612178 2784572974 3381704846 3531653528 4977224356 5569145948 6763409692 7063307056 9954448712 11138291896 13526819384 15858482669 18099724331 19908897424 22276583792 27053638768 31716965338 36199448662 63433930676 72398897324 126867861352 144797794648 206160274697 253735722704 289595589296 412320549394 650197789429 824641098788 1300395578858 1649282197576 2600791157716 3298564395152 5201582315432 8452571262577 10403164630864 16905142525154 33810285050308 67620570100616 135241140201232