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137016068 = 227192983107
BaseRepresentation
bin10000010101010…
…11001100000100
3100112211010201012
420022223030010
5240034003233
621332421352
73252421520
oct1012531404
9315733635
10137016068
1170384222
1239a77858
13225040c7
14142a8d80
15c067548
hex82ab304

137016068 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 52569216.

The previous prime is 137016067. The next prime is 137016091. The reversal of 137016068 is 860610731.

It is not an unprimeable number, because it can be changed into a prime (137016067) 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, 1280471 + ... + 1280577.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2137016068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137016068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

137016068 is an abundant number, since it is smaller than the sum of its proper divisors (167803132).

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

137016068 is a wasteful number, since it uses less digits than its factorization.

137016068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 137016068 is about 11705.3862815372. The cubic root of 137016068 is about 515.5338267103.

Adding to 137016068 its reverse (860610731), we get a palindrome (997626799).

The spelling of 137016068 in words is "one hundred thirty-seven million, sixteen thousand, sixty-eight".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 83 107 116 133 166 203 214 266 332 406 428 532 551 581 749 812 1102 1162 1498 1577 2033 2204 2324 2407 2996 3103 3154 3857 4066 4814 6206 6308 7714 8132 8881 9628 11039 12412 14231 15428 16849 17762 21721 22078 28462 33698 35524 43442 44156 45733 56924 58957 62167 67396 86884 91466 117914 124334 168739 182932 235828 248668 257549 320131 337478 412699 515098 640262 674956 825398 1030196 1181173 1280524 1650796 1802843 2362346 3605686 4724692 4893431 7211372 9786862 19573724 34254017 68508034 137016068