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138330108 = 2232719167173
BaseRepresentation
bin10000011111010…
…11111111111100
3100122021220020100
420033223333330
5240403030413
621420521100
73266533530
oct1017537774
9318256210
10138330108
11710a1504
123a3b0190
1322874247
141452bbc0
15c226a73
hex83ebffc

138330108 has 144 divisors (see below), whose sum is σ = 425617920. Its totient is φ = 37003392.

The previous prime is 138330083. The next prime is 138330131. The reversal of 138330108 is 801033831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799510 + ... + 799682.

It is an arithmetic number, because the mean of its divisors is an integer number (2955680).

Almost surely, 2138330108 is an apocalyptic number.

138330108 is a gapful number since it is divisible by the number (18) 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 138330108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212808960).

138330108 is an abundant number, since it is smaller than the sum of its proper divisors (287287812).

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

138330108 is a wasteful number, since it uses less digits than its factorization.

138330108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138330108 is about 11761.3820616456. The cubic root of 138330108 is about 517.1766459991.

Adding to 138330108 its reverse (801033831), we get a palindrome (939363939).

The spelling of 138330108 in words is "one hundred thirty-eight million, three hundred thirty thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 167 171 173 228 252 266 334 342 346 399 501 519 532 668 684 692 798 1002 1038 1169 1197 1211 1503 1557 1596 2004 2076 2338 2394 2422 3006 3114 3173 3287 3507 3633 4676 4788 4844 6012 6228 6346 6574 7014 7266 9519 9861 10521 10899 12692 13148 14028 14532 19038 19722 21042 21798 22211 23009 28557 28891 29583 38076 39444 42084 43596 44422 46018 57114 57782 59166 66633 69027 86673 88844 92036 114228 115564 118332 133266 138054 173346 199899 202237 207081 260019 266532 276108 346692 399798 404474 414162 520038 548929 606711 799596 808948 828324 1040076 1097858 1213422 1646787 1820133 2195716 2426844 3293574 3640266 3842503 4940361 6587148 7280532 7685006 9880722 11527509 15370012 19761444 23055018 34582527 46110036 69165054 138330108