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134122065 = 35721153313
BaseRepresentation
bin1111111111010…
…00101001010001
3100100101002212220
413333220221101
5233313401230
621150411253
73216006300
oct777505121
9310332786
10134122065
1169787990
1238b00b29
1321a2ca8c
1413b54437
15bb94d10
hex7fe8a51

134122065 has 96 divisors (see below), whose sum is σ = 278349696. Its totient is φ = 54512640.

The previous prime is 134122057. The next prime is 134122091. The reversal of 134122065 is 560221431.

It is not a de Polignac number, because 134122065 - 23 = 134122057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 428349 + ... + 428661.

It is an arithmetic number, because the mean of its divisors is an integer number (2899476).

Almost surely, 2134122065 is an apocalyptic number.

134122065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134122065 is an abundant number, since it is smaller than the sum of its proper divisors (144227631).

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

134122065 is a wasteful number, since it uses less digits than its factorization.

134122065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 134122065 is about 11581.1081076035. The cubic root of 134122065 is about 511.8783292939.

Adding to 134122065 its reverse (560221431), we get a palindrome (694343496).

The spelling of 134122065 in words is "one hundred thirty-four million, one hundred twenty-two thousand, sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 53 55 77 105 147 159 165 231 245 265 313 371 385 539 583 735 795 939 1113 1155 1565 1617 1749 1855 2191 2597 2695 2915 3443 4081 4695 5565 6573 7791 8085 8745 10329 10955 12243 12985 15337 16589 17215 20405 24101 28567 32865 38955 46011 49767 51645 61215 72303 76685 82945 85701 116123 120505 142835 168707 182479 230055 248835 348369 361515 428505 506121 547437 580615 812861 843535 912395 1277353 1741845 2438583 2530605 2737185 3832059 4064305 6386765 8941471 12192915 19160295 26824413 44707355 134122065