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136316124 = 223272329811
BaseRepresentation
bin10000010000000…
…00010011011100
3100111111120120100
420020000103130
5234344103444
621305421100
73243445050
oct1010002334
9314446510
10136316124
116aa4635a
123979a790
132231a639
1414165c60
15be79e69
hex82004dc

136316124 has 144 divisors (see below), whose sum is σ = 425617920. Its totient is φ = 35925120.

The previous prime is 136316113. The next prime is 136316209. The reversal of 136316124 is 421613631.

136316124 is a `hidden beast` number, since 1 + 3 + 631 + 6 + 1 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167679 + ... + 168489.

It is an arithmetic number, because the mean of its divisors is an integer number (2955680).

Almost surely, 2136316124 is an apocalyptic number.

136316124 is a gapful number since it is divisible by the number (14) 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 136316124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212808960).

136316124 is an abundant number, since it is smaller than the sum of its proper divisors (289301796).

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

136316124 is a wasteful number, since it uses less digits than its factorization.

136316124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 875 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 136316124 is about 11675.4496273163. The cubic root of 136316124 is about 514.6544626567.

Adding to 136316124 its reverse (421613631), we get a palindrome (557929755).

The spelling of 136316124 in words is "one hundred thirty-six million, three hundred sixteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 29 36 42 46 58 63 69 84 87 92 116 126 138 161 174 203 207 252 261 276 322 348 406 414 483 522 609 644 667 811 812 828 966 1044 1218 1334 1449 1622 1827 1932 2001 2433 2436 2668 2898 3244 3654 4002 4669 4866 5677 5796 6003 7299 7308 8004 9338 9732 11354 12006 14007 14598 17031 18653 18676 22708 23519 24012 28014 29196 34062 37306 42021 47038 51093 55959 56028 68124 70557 74612 84042 94076 102186 111918 130571 141114 164633 167877 168084 204372 211671 223836 261142 282228 329266 335754 391713 423342 493899 522284 540937 658532 671508 783426 846684 987798 1081874 1175139 1481697 1566852 1622811 1975596 2163748 2350278 2963394 3245622 3786559 4700556 4868433 5926788 6491244 7573118 9736866 11359677 15146236 19473732 22719354 34079031 45438708 68158062 136316124