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136857468880 = 245114725113183
BaseRepresentation
bin111111101110101010…
…1110011111111010000
3111002020211110202110201
41333131111303333100
54220241003001010
6142512122304544
712613312201666
oct1773525637720
9432224422421
10136857468880
115304a522a90
1222635358154
13cba07c5322
1468a4122c36
15385edc623a
hex1fdd573fd0

136857468880 has 160 divisors (see below), whose sum is σ = 355945218048. Its totient is φ = 48509760000.

The previous prime is 136857468857. The next prime is 136857468889. The reversal of 136857468880 is 88864758631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136857468889) 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, 10374769 + ... + 10387951.

Almost surely, 2136857468880 is an apocalyptic number.

136857468880 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 136857468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177972609024).

136857468880 is an abundant number, since it is smaller than the sum of its proper divisors (219087749168).

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

136857468880 is a wasteful number, since it uses less digits than its factorization.

136857468880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13499 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 64.

The spelling of 136857468880 in words is "one hundred thirty-six billion, eight hundred fifty-seven million, four hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 251 376 440 470 502 517 752 880 940 1004 1034 1255 1880 2008 2068 2510 2585 2761 3760 4016 4136 5020 5170 5522 8272 10040 10340 11044 11797 13183 13805 20080 20680 22088 23594 26366 27610 41360 44176 47188 52732 55220 58985 65915 94376 105464 110440 117970 129767 131830 145013 188752 210928 220880 235940 259534 263660 290026 471880 519068 527320 580052 619601 648835 725065 943760 1038136 1054640 1160104 1239202 1297670 1450130 2076272 2320208 2478404 2595340 2900260 3098005 3308933 4956808 5190680 5800520 6196010 6617866 6815611 9913616 10381360 11601040 12392020 13235732 13631222 16544665 24784040 26471464 27262444 33089330 34078055 36398263 49568080 52942928 54524888 66178660 68156110 72796526 109049776 132357320 136312220 145593052 155519851 181991315 264714640 272624440 291186104 311039702 363982630 545248880 582372208 622079404 727965260 777599255 1244158808 1455930520 1555198510 1710718361 2488317616 2911861040 3110397020 3421436722 6220794040 6842873444 8553591805 12441588080 13685746888 17107183610 27371493776 34214367220 68428734440 136857468880