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135332024151320 = 23537271761443389
BaseRepresentation
bin11110110001010101110001…
…001110011110110100011000
3122202011121121110010212220122
4132301111301032132310120
5120214234441140320240
61155454401300212412
740335262501166033
oct3661256116366430
9582147543125818
10135332024151320
113a136a97597947
121321830509a108
135a689a7cc22c9
14255c167c7601a
15109a46ab364b5
hex7b157139ed18

135332024151320 has 128 divisors (see below), whose sum is σ = 314293844563200. Its totient is φ = 52406333337600.

The previous prime is 135332024151299. The next prime is 135332024151377. The reversal of 135332024151320 is 23151420233531.

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, 305000186 + ... + 305443574.

It is an arithmetic number, because the mean of its divisors is an integer number (2455420660650).

Almost surely, 2135332024151320 is an apocalyptic number.

135332024151320 is a gapful number since it is divisible by the number (10) 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 135332024151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157146922281600).

135332024151320 is an abundant number, since it is smaller than the sum of its proper divisors (178961820411880).

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

135332024151320 is a wasteful number, since it uses less digits than its factorization.

135332024151320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444469 (or 444465 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 135332024151320 its reverse (23151420233531), we get a palindrome (158483444384851).

The spelling of 135332024151320 in words is "one hundred thirty-five trillion, three hundred thirty-two billion, twenty-four million, one hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 271 296 370 542 740 761 1084 1355 1480 1522 2168 2710 3044 3805 5420 6088 7610 10027 10840 15220 20054 28157 30440 40108 50135 56314 80216 100270 112628 140785 200540 206231 225256 281570 401080 412462 443389 563140 824924 886778 1031155 1126280 1649848 1773556 2062310 2216945 3547112 4124620 4433890 7630547 8249240 8867780 15261094 16405393 17735560 30522188 32810786 38152735 61044376 65621572 76305470 82026965 120158419 131243144 152610940 164053930 240316838 305221880 328107860 337419029 480633676 600792095 656215720 674838058 961267352 1201584190 1349676116 1687095145 2403168380 2699352232 3374190290 4445861503 4806336760 6748380580 8891723006 12484504073 13496761160 17783446012 22229307515 24969008146 35566892024 44458615030 49938016292 62422520365 88917230060 91440556859 99876032584 124845040730 177834460120 182881113718 249690081460 365762227436 457202784295 499380162920 731524454872 914405568590 1828811137180 3383300603783 3657622274360 6766601207566 13533202415132 16916503018915 27066404830264 33833006037830 67666012075660 135332024151320