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168128136 = 233411103229
BaseRepresentation
bin10100000010101…
…10111010001000
3102201100210110000
422001112322020
5321020100021
624403323000
74111031331
oct1201267210
9381323400
10168128136
11869a4180
1248380460
1328aa8307
1418487288
15eb60b26
hexa056e88

168128136 has 160 divisors (see below), whose sum is σ = 520977600. Its totient is φ = 50232960.

The previous prime is 168128101. The next prime is 168128141. The reversal of 168128136 is 631821861.

It is a super-2 number, since 2×1681281362 = 56534140229668992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 168128136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 734070 + ... + 734298.

It is an arithmetic number, because the mean of its divisors is an integer number (3256110).

Almost surely, 2168128136 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 168128136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260488800).

168128136 is an abundant number, since it is smaller than the sum of its proper divisors (352849464).

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

168128136 is a wasteful number, since it uses less digits than its factorization.

168128136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 168128136 is about 12966.4234081724. The cubic root of 168128136 is about 551.9250843511.

Adding to 168128136 its reverse (631821861), we get a palindrome (799949997).

The spelling of 168128136 in words is "one hundred sixty-eight million, one hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 103 108 132 162 198 206 216 229 264 297 309 324 396 412 458 594 618 648 687 792 824 891 916 927 1133 1188 1236 1374 1782 1832 1854 2061 2266 2376 2472 2519 2748 2781 3399 3564 3708 4122 4532 5038 5496 5562 6183 6798 7128 7416 7557 8244 8343 9064 10076 10197 11124 12366 13596 15114 16488 16686 18549 20152 20394 22248 22671 23587 24732 27192 30228 30591 33372 37098 40788 45342 47174 49464 60456 61182 66744 68013 70761 74196 81576 90684 91773 94348 122364 136026 141522 148392 181368 183546 188696 204039 212283 244728 259457 272052 283044 367092 408078 424566 518914 544104 566088 636849 734184 778371 816156 849132 1037828 1273698 1556742 1632312 1698264 1910547 2075656 2335113 2547396 3113484 3821094 4670226 5094792 6226968 7005339 7642188 9340452 14010678 15284376 18680904 21016017 28021356 42032034 56042712 84064068 168128136