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138135809136 = 243131911651131
BaseRepresentation
bin1000000010100110001…
…0010010110001110000
3111012112220220011122010
42000221202102301300
54230400231343021
6143243025442520
712660064001343
oct2005142226160
9435486804563
10138135809136
1153646076a36
12229314a0440
13100455b8590
146985c0645a
1538d7238976
hex2029892c70

138135809136 has 80 divisors (see below), whose sum is σ = 404527303040. Its totient is φ = 40266305280.

The previous prime is 138135809101. The next prime is 138135809153. The reversal of 138135809136 is 631908531831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5813710 + ... + 5837421.

It is an arithmetic number, because the mean of its divisors is an integer number (5056591288).

Almost surely, 2138135809136 is an apocalyptic number.

138135809136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138135809136 is an abundant number, since it is smaller than the sum of its proper divisors (266391493904).

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

138135809136 is a wasteful number, since it uses less digits than its factorization.

138135809136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651174 (or 11651168 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 138135809136 in words is "one hundred thirty-eight billion, one hundred thirty-five million, eight hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 11651131 23302262 34953393 46604524 69906786 93209048 139813572 151464703 186418096 221371489 279627144 302929406 442742978 454394109 559254288 605858812 664114467 885485956 908788218 1211717624 1328228934 1770971912 1817576436 2423435248 2656457868 2877829357 3541943824 3635152872 5312915736 5755658714 7270305744 8633488071 10625831472 11511317428 17266976142 23022634856 34533952284 46045269712 69067904568 138135809136