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136242725976 = 23337731234351
BaseRepresentation
bin111111011100010110…
…0110000010001011000
3111000122222201120202000
41332320230300101120
54213011114212401
6142331122241000
712562136030430
oct1767054602130
9430588646660
10136242725976
11528645155a5
12224a34b6160
13cb03337126
14684661d2c0
153825e45186
hex1fb8b30458

136242725976 has 128 divisors (see below), whose sum is σ = 438441830400. Its totient is φ = 38393222400.

The previous prime is 136242725959. The next prime is 136242725977. The reversal of 136242725976 is 679527242631.

136242725976 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 42 + 7 + 2 + 597 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136242725977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506800 + ... + 727551.

It is an arithmetic number, because the mean of its divisors is an integer number (3425326800).

Almost surely, 2136242725976 is an apocalyptic number.

It is an amenable number.

136242725976 is an abundant number, since it is smaller than the sum of its proper divisors (302199104424).

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

136242725976 is a wasteful number, since it uses less digits than its factorization.

136242725976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234446 (or 1234436 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 136242725976 in words is "one hundred thirty-six billion, two hundred forty-two million, seven hundred twenty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 84 108 126 146 168 189 216 219 252 292 378 438 504 511 584 657 756 876 1022 1314 1512 1533 1752 1971 2044 2628 3066 3942 4088 4599 5256 6132 7884 9198 12264 13797 15768 18396 27594 36792 55188 110376 1234351 2468702 3703053 4937404 7406106 8640457 9874808 11109159 14812212 17280914 22218318 25921371 29624424 33327477 34561828 44436636 51842742 66654954 69123656 77764113 88873272 90107623 103685484 133309908 155528226 180215246 207370968 233292339 266619816 270322869 311056452 360430492 466584678 540645738 622112904 630753361 720860984 810968607 933169356 1081291476 1261506722 1621937214 1866338712 1892260083 2162582952 2432905821 2523013444 3243874428 3784520166 4865811642 5046026888 5676780249 6487748856 7569040332 9731623284 11353560498 15138080664 17030340747 19463246568 22707120996 34060681494 45414241992 68121362988 136242725976