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135720139715480 = 235311632393280603
BaseRepresentation
bin11110110110111111001110…
…101101110111001110011000
3122210112201101220001100210002
4132312333032231313032120
5120242114321231343410
61200352545455512132
740405312404101045
oct3666771655671630
9583481356040702
10135720139715480
113a27665171a741
121327b580228648
135a9647b3cb998
142572c659001cc
1510a55d3eda7a5
hex7b6fceb77398

135720139715480 has 128 divisors (see below), whose sum is σ = 317288505784320. Its totient is φ = 52192510755840.

The previous prime is 135720139715473. The next prime is 135720139715507. The reversal of 135720139715480 is 84517931027531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483532859 + ... + 483813461.

It is an arithmetic number, because the mean of its divisors is an integer number (2478816451440).

Almost surely, 2135720139715480 is an apocalyptic number.

135720139715480 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 135720139715480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158644252892160).

135720139715480 is an abundant number, since it is smaller than the sum of its proper divisors (181568366068840).

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

135720139715480 is a wasteful number, since it uses less digits than its factorization.

135720139715480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283201 (or 283197 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 56.

The spelling of 135720139715480 in words is "one hundred thirty-five trillion, seven hundred twenty billion, one hundred thirty-nine million, seven hundred fifteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 163 248 310 326 620 652 815 1240 1304 1630 2393 3260 4786 5053 6520 9572 10106 11965 19144 20212 23930 25265 40424 47860 50530 74183 95720 101060 148366 202120 280603 296732 370915 390059 561206 593464 741830 780118 1122412 1403015 1483660 1560236 1950295 2244824 2806030 2967320 3120472 3900590 5612060 7801180 8698693 11224120 12091829 15602360 17397386 24183658 34794772 43493465 45738289 48367316 60459145 69589544 86986930 91476578 96734632 120918290 173973860 182953156 228691445 241836580 347947720 365906312 457382890 483673160 671482979 914765780 1342965958 1417886959 1829531560 2685931916 2835773918 3357414895 5371863832 5671547836 6714829790 7089434795 11343095672 13429659580 14178869590 20815972349 26859319160 28357739180 41631944698 56715478360 83263889396 104079861745 109451725577 166527778792 208159723490 218903451154 416319446980 437806902308 547258627885 832638893960 875613804616 1094517255770 2189034511540 3393003492887 4378069023080 6786006985774 13572013971548 16965017464435 27144027943096 33930034928870 67860069857740 135720139715480