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135641436 = 22371743472
BaseRepresentation
bin10000001010110…
…11100101011100
3100110020022001220
420011123211130
5234211011221
621243133340
73234635040
oct1005334534
9313208056
10135641436
116a625467
1239514250
1322142508
141402c020
15bd950c6
hex815b95c

135641436 has 144 divisors (see below), whose sum is σ = 400409856. Its totient is φ = 34868736.

The previous prime is 135641431. The next prime is 135641449. The reversal of 135641436 is 634146531.

It is a junction number, because it is equal to n+sod(n) for n = 135641397 and 135641406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135641431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2885965 + ... + 2886011.

It is an arithmetic number, because the mean of its divisors is an integer number (2780624).

Almost surely, 2135641436 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 135641436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200204928).

135641436 is an abundant number, since it is smaller than the sum of its proper divisors (264768420).

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

135641436 is a wasteful number, since it uses less digits than its factorization.

135641436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 119 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 135641436 is about 11646.5203387106. The cubic root of 135641436 is about 513.8039747698.

Adding to 135641436 its reverse (634146531), we get a palindrome (769787967).

The spelling of 135641436 in words is "one hundred thirty-five million, six hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 47 51 68 84 86 94 102 119 129 141 172 188 204 238 258 282 301 329 357 476 516 564 602 658 714 731 799 903 987 1204 1316 1428 1462 1598 1806 1974 2021 2193 2209 2397 2924 3196 3612 3948 4042 4386 4418 4794 5117 5593 6063 6627 8084 8772 8836 9588 10234 11186 12126 13254 14147 15351 15463 16779 20468 22372 24252 26508 28294 30702 30926 33558 34357 37553 42441 46389 56588 61404 61852 67116 68714 75106 84882 92778 94987 103071 112659 137428 150212 169764 185556 189974 206142 225318 240499 262871 284961 379948 412284 450636 480998 525742 569922 664909 721497 788613 961996 1051484 1139844 1329818 1442994 1577226 1614779 1994727 2659636 2885988 3154452 3229558 3989454 4844337 6459116 7978908 9688674 11303453 19377348 22606906 33910359 45213812 67820718 135641436