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135843890731248 = 24371572719502369
BaseRepresentation
bin11110111000110010011110…
…110110100001100011110000
3122210222112211022102022120110
4132320302132312201203300
5120301131242011344443
61200525453305341320
740420253151265350
oct3670623666414360
9583875738368513
10135843890731248
113a314085969497
121329b558197840
135aa504075c4bb
142578c450a6b60
1510a8928433233
hex7b8c9eda18f0

135843890731248 has 160 divisors (see below), whose sum is σ = 405106862295040. Its totient is φ = 38423015055360.

The previous prime is 135843890731243. The next prime is 135843890731259. The reversal of 135843890731248 is 842137098348531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135843890731243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9544608 + ... + 19046976.

It is an arithmetic number, because the mean of its divisors is an integer number (2531917889344).

Almost surely, 2135843890731248 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 135843890731248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202553431147520).

135843890731248 is an abundant number, since it is smaller than the sum of its proper divisors (269262971563792).

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

135843890731248 is a wasteful number, since it uses less digits than its factorization.

135843890731248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502815 (or 9502809 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 135843890731248 in words is "one hundred thirty-five trillion, eight hundred forty-three billion, eight hundred ninety million, seven hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 271 314 336 471 542 628 813 942 1084 1099 1256 1626 1884 1897 2168 2198 2512 3252 3297 3768 3794 4336 4396 5691 6504 6594 7536 7588 8792 11382 13008 13188 15176 17584 22764 26376 30352 42547 45528 52752 85094 91056 127641 170188 255282 297829 340376 510564 595658 680752 893487 1021128 1191316 1786974 2042256 2382632 3573948 4765264 7147896 9502369 14295792 19004738 28507107 38009476 57014214 66516583 76018952 114028428 133033166 152037904 199549749 228056856 266066332 399099498 456113712 532132664 798198996 1064265328 1491871933 1596397992 2575141999 2983743866 3192795984 4475615799 5150283998 5967487732 7725425997 8951231598 10300567996 10443103531 11934975464 15450851994 17902463196 18025993993 20601135992 20886207062 23869950928 30901703988 31329310593 35804926392 36051987986 41202271984 41772414124 54077981979 61803407976 62658621186 71609852784 72103975972 83544828248 108155963958 123606815952 125317242372 144207951944 167089656496 216311927916 250634484744 288415903888 404297293843 432623855832 501268969488 808594587686 865247711664 1212891881529 1617189175372 2425783763058 2830081056901 3234378350744 4851567526116 5660162113802 6468756701488 8490243170703 9703135052232 11320324227604 16980486341406 19406270104464 22640648455208 33960972682812 45281296910416 67921945365624 135843890731248