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138181836 = 223132611117
BaseRepresentation
bin10000011110001…
…11110011001100
3100122000100211210
420033013303030
5240333304321
621413414420
73265345332
oct1017076314
9318010753
10138181836
1171000071
123a33a410
1322821900
14144cdb52
15c1e7b76
hex83c7ccc

138181836 has 72 divisors (see below), whose sum is σ = 355175184. Its totient is φ = 41783040.

The previous prime is 138181829. The next prime is 138181853. The reversal of 138181836 is 638181831.

138181836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 138181794 and 138181803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123150 + ... + 124266.

Almost surely, 2138181836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138181836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177587592).

138181836 is an abundant number, since it is smaller than the sum of its proper divisors (216993348).

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

138181836 is a wasteful number, since it uses less digits than its factorization.

138181836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1196 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 138181836 is about 11755.0770307982. The cubic root of 138181836 is about 516.9917977615.

The spelling of 138181836 in words is "one hundred thirty-eight million, one hundred eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 169 183 244 338 366 507 676 732 793 1014 1117 1586 2028 2234 2379 3172 3351 4468 4758 6702 9516 10309 13404 14521 20618 29042 30927 41236 43563 58084 61854 68137 87126 123708 136274 174252 188773 204411 272548 377546 408822 566319 755092 817644 885781 1132638 1771562 2265276 2657343 3543124 5314686 10629372 11515153 23030306 34545459 46060612 69090918 138181836