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132265617138 = 23223237272
BaseRepresentation
bin111101100101110100…
…1010010011011110010
3110122101211002112001200
41323023221102123302
54131334444222023
6140432331112030
712361444124064
oct1731351223362
9418354075050
10132265617138
1151103546896
12217735a2616
13c61b39baa5
14658a347734
153691be2743
hex1ecba526f2

132265617138 has 54 divisors (see below), whose sum is σ = 299657440719. Its totient is φ = 42160330872.

The previous prime is 132265617119. The next prime is 132265617151. The reversal of 132265617138 is 831716562231.

It is a happy number.

132265617138 is a `hidden beast` number, since 1 + 3 + 2 + 26 + 5 + 617 + 1 + 3 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66132808569 + 66132808569 = 257163^2 + 257163^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=257163.

It is a super-2 number, since 2×1322656171382 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132265617093 and 132265617102.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35486631 + ... + 35490357.

Almost surely, 2132265617138 is an apocalyptic number.

132265617138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132265617138

132265617138 is an abundant number, since it is smaller than the sum of its proper divisors (167391823581).

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

132265617138 is an frugal number, since it uses more digits than its factorization.

132265617138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 3755 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 132265617138 in words is "one hundred thirty-two billion, two hundred sixty-five million, six hundred seventeen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 3174 3727 4761 7454 9522 11181 22362 33543 67086 85721 171442 257163 514326 771489 1542978 1971583 3943166 5914749 11829498 13890529 17744247 27781058 35488494 41671587 83343174 125014761 250029522 319482167 638964334 958446501 1916893002 2875339503 5750679006 7348089841 14696179682 22044269523 44088539046 66132808569 132265617138