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136267164 = 223311196037
BaseRepresentation
bin10000001111101…
…00010110011100
3100111102002102000
420013310112130
5234341022124
621304402300
73243152235
oct1007642634
9314362360
10136267164
116aa125a0
1239776390
1322301277
141415208c
15be6a6c9
hex81f459c

136267164 has 96 divisors (see below), whose sum is σ = 405753600. Its totient is φ = 39113280.

The previous prime is 136267163. The next prime is 136267177. The reversal of 136267164 is 461762631.

It is a happy number.

136267164 is a `hidden beast` number, since 13 + 626 + 7 + 16 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136267163) 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 31 ways as a sum of consecutive naturals, for example, 19554 + ... + 25590.

It is an arithmetic number, because the mean of its divisors is an integer number (4226600).

Almost surely, 2136267164 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 136267164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202876800).

136267164 is an abundant number, since it is smaller than the sum of its proper divisors (269486436).

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

136267164 is a wasteful number, since it uses less digits than its factorization.

136267164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6072 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 136267164 is about 11673.3527317562. The cubic root of 136267164 is about 514.5928399642.

The spelling of 136267164 in words is "one hundred thirty-six million, two hundred sixty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 5643 6037 7524 11286 12074 18111 22572 24148 36222 54333 66407 72444 108666 114703 132814 162999 199221 217332 229406 265628 325998 344109 398442 458812 597663 651996 688218 796884 1032327 1195326 1261733 1376436 1792989 2064654 2390652 2523466 3096981 3585978 3785199 4129308 5046932 6193962 7171956 7570398 11355597 12387924 15140796 22711194 34066791 45422388 68133582 136267164