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137338506660 = 223523197505181
BaseRepresentation
bin111111111101000000…
…0110100110110100100
3111010111100122000020210
41333322000310312210
54222232124203120
6143031544455420
712631243021335
oct1777200646644
9433440560223
10137338506660
1153277008873
122274a47a570
13cc4936b474
14690bd8028c
15388c245ce0
hex1ffa034da4

137338506660 has 96 divisors (see below), whose sum is σ = 403304977152. Its totient is φ = 34853378560.

The previous prime is 137338506653. The next prime is 137338506667. The reversal of 137338506660 is 66605833731.

It is an interprime number because it is at equal distance from previous prime (137338506653) and next prime (137338506667).

It is not an unprimeable number, because it can be changed into a prime (137338506667) 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, 19270 + ... + 524450.

It is an arithmetic number, because the mean of its divisors is an integer number (4201093512).

Almost surely, 2137338506660 is an apocalyptic number.

137338506660 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 137338506660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201652488576).

137338506660 is an abundant number, since it is smaller than the sum of its proper divisors (265966470492).

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

137338506660 is a wasteful number, since it uses less digits than its factorization.

137338506660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505413 (or 505411 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 137338506660 in words is "one hundred thirty-seven billion, three hundred thirty-eight million, five hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 197 230 276 345 394 460 591 690 788 985 1182 1380 1970 2364 2955 3940 4531 5910 9062 11820 13593 18124 22655 27186 45310 54372 67965 90620 135930 271860 505181 1010362 1515543 2020724 2525905 3031086 5051810 6062172 7577715 10103620 11619163 15155430 23238326 30310860 34857489 46476652 58095815 69714978 99520657 116191630 139429956 174287445 199041314 232383260 298561971 348574890 398082628 497603285 597123942 697149780 995206570 1194247884 1492809855 1990413140 2288975111 2985619710 4577950222 5971239420 6866925333 9155900444 11444875555 13733850666 22889751110 27467701332 34334626665 45779502220 68669253330 137338506660