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136425168 = 243311191511
BaseRepresentation
bin10000010000110…
…10111011010000
3100111201010011000
420020122323100
5234411101133
621312022000
73244411005
oct1010327320
9314633130
10136425168
1170010280
1239831900
1322358169
14141938ac
15be9c413
hex821aed0

136425168 has 160 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 39139200.

The previous prime is 136425137. The next prime is 136425229. The reversal of 136425168 is 861524631.

It is a happy number.

136425168 is a `hidden beast` number, since 1 + 3 + 642 + 5 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×1364251682 = 37223652927656448, which contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 89533 + ... + 91043.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2136425168 is an apocalyptic number.

136425168 is a gapful number since it is divisible by the number (18) 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 136425168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

136425168 is an abundant number, since it is smaller than the sum of its proper divisors (313546032).

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

136425168 is a wasteful number, since it uses less digits than its factorization.

136425168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1546 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 136425168 is about 11680.1184925496. The cubic root of 136425168 is about 514.7916560718.

Adding to 136425168 its reverse (861524631), we get a palindrome (997949799).

The spelling of 136425168 in words is "one hundred thirty-six million, four hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1511 1584 1672 1881 2052 2376 2508 2736 3022 3344 3762 4104 4533 4752 5016 5643 6044 7524 8208 9066 10032 11286 12088 13599 15048 16621 18132 22572 24176 27198 28709 30096 33242 36264 40797 45144 49863 54396 57418 66484 72528 81594 86127 90288 99726 108792 114836 132968 149589 163188 172254 199452 217584 229672 258381 265936 299178 315799 326376 344508 398904 448767 459344 516762 598356 631598 652752 689016 775143 797808 897534 947397 1033524 1196712 1263196 1378032 1550286 1795068 1894794 2067048 2393424 2526392 2842191 3100572 3590136 3789588 4134096 5052784 5684382 6201144 7180272 7579176 8526573 11368764 12402288 15158352 17053146 22737528 34106292 45475056 68212584 136425168