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138120612 = 22373231459
BaseRepresentation
bin10000011101110…
…00110110100100
3100121220020212020
420032320312210
5240324324422
621412223140
73265002000
oct1016706644
9317806766
10138120612
1170a69073
123a30aab0
13227cca96
14144b5700
15c1d495c
hex83b8da4

138120612 has 96 divisors (see below), whose sum is σ = 392448000. Its totient is φ = 37721376.

The previous prime is 138120611. The next prime is 138120617. The reversal of 138120612 is 216021831.

It is not an unprimeable number, because it can be changed into a prime (138120611) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93939 + ... + 95397.

It is an arithmetic number, because the mean of its divisors is an integer number (4088000).

Almost surely, 2138120612 is an apocalyptic number.

138120612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138120612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196224000).

138120612 is an abundant number, since it is smaller than the sum of its proper divisors (254327388).

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

138120612 is a wasteful number, since it uses less digits than its factorization.

138120612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 138120612 is about 11752.4725909061. The cubic root of 138120612 is about 516.9154322454.

The spelling of 138120612 in words is "one hundred thirty-eight million, one hundred twenty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 343 483 588 644 686 966 1029 1127 1372 1459 1932 2058 2254 2918 3381 4116 4377 4508 5836 6762 7889 8754 10213 13524 15778 17508 20426 23667 30639 31556 33557 40852 47334 61278 67114 71491 94668 100671 122556 134228 142982 201342 214473 234899 285964 402684 428946 469798 500437 704697 857892 939596 1000874 1409394 1501311 1644293 2001748 2818788 3002622 3288586 4932879 6005244 6577172 9865758 11510051 19731516 23020102 34530153 46040204 69060306 138120612