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136782009 = 32713229443
BaseRepresentation
bin10000010011100…
…10000010111001
3100112101020122100
420021302002321
5240004011014
621323414013
73250425240
oct1011620271
9315336570
10136782009
1170234391
1239984309
1322451700
1414247957
15c01d009
hex82720b9

136782009 has 72 divisors (see below), whose sum is σ = 253506240. Its totient is φ = 69503616.

The previous prime is 136781999. The next prime is 136782031. The reversal of 136782009 is 900287631.

It is not a de Polignac number, because 136782009 - 29 = 136781497 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (136786009) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 308542 + ... + 308984.

It is an arithmetic number, because the mean of its divisors is an integer number (3520920).

Almost surely, 2136782009 is an apocalyptic number.

It is an amenable number.

136782009 is a deficient number, since it is larger than the sum of its proper divisors (116724231).

136782009 is a wasteful number, since it uses less digits than its factorization.

136782009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 136782009 is about 11695.3840894603. The cubic root of 136782009 is about 515.2401042095.

The spelling of 136782009 in words is "one hundred thirty-six million, seven hundred eighty-two thousand, nine".

Divisors: 1 3 7 9 13 21 29 39 63 87 91 117 169 203 261 273 377 443 507 609 819 1131 1183 1329 1521 1827 2639 3101 3393 3549 3987 4901 5759 7917 9303 10647 12847 14703 17277 23751 27909 34307 38541 40313 44109 51831 74867 89929 102921 115623 120939 167011 224601 269787 308763 362817 501033 524069 673803 809361 1169077 1503099 1572207 2171143 3507231 4716621 6513429 10521693 15198001 19540287 45594003 136782009