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137459317138 = 21113191012111187
BaseRepresentation
bin1000000000000100110…
…1101011100110010010
3111010210202221211001221
42000001031223212102
54223004041122023
6143051542115254
712634240626433
oct2000115534622
9433722854057
10137459317138
1153329223540
1222782a1bb2a
13cc683ba260
14692002b48a
153897b5b85d
hex200136b992

137459317138 has 128 divisors (see below), whose sum is σ = 258948264960. Its totient is φ = 53796960000.

The previous prime is 137459317129. The next prime is 137459317139. The reversal of 137459317138 is 831713954731.

It is a super-2 number, since 2×1374593171382 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137459317139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115803381 + ... + 115804567.

It is an arithmetic number, because the mean of its divisors is an integer number (2023033320).

Almost surely, 2137459317138 is an apocalyptic number.

137459317138 is a deficient number, since it is larger than the sum of its proper divisors (121488947822).

137459317138 is a wasteful number, since it uses less digits than its factorization.

137459317138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544.

The product of its digits is 1905120, while the sum is 52.

The spelling of 137459317138 in words is "one hundred thirty-seven billion, four hundred fifty-nine million, three hundred seventeen thousand, one hundred thirty-eight".

Divisors: 1 2 11 13 19 22 26 38 101 143 202 209 211 247 286 418 422 494 1111 1187 1313 1919 2222 2321 2374 2626 2717 2743 3838 4009 4642 5434 5486 8018 13057 14443 15431 21109 21311 22553 24947 26114 28886 30173 30862 42218 42622 44099 45106 49894 52117 60346 88198 104234 119887 169741 234421 239774 248083 250457 274417 277043 293189 339482 404909 468842 496166 500914 548834 554086 573287 586378 809818 1146574 1318757 1558531 2277853 2637514 2755027 3047473 3117062 3225079 3255941 4453999 4555706 4758683 5263817 5510054 6094946 6450158 6511882 8907998 9517366 10527634 17143841 25056383 25296157 29612089 34287682 35815351 50112766 50592314 52345513 57901987 59224178 61862879 71630702 104691026 115803974 123725758 278257727 325732979 328850041 480626983 556515454 651465958 657700082 680491669 961253966 1360983338 3617350451 5286896813 6248150779 7234700902 10573793626 12496301558 68729658569 137459317138