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138114678 = 231323167461
BaseRepresentation
bin10000011101101…
…11011001110110
3100121212221201110
420032313121312
5240324132203
621412135450
73264645462
oct1016673166
9317787643
10138114678
1170a64669
123a307586
13227ca180
14144b34a2
15c1d2d03
hex83b7676

138114678 has 64 divisors (see below), whose sum is σ = 312947712. Its totient is φ = 40318080.

The previous prime is 138114677. The next prime is 138114719. The reversal of 138114678 is 876411831.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138114677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299368 + ... + 299828.

It is an arithmetic number, because the mean of its divisors is an integer number (4889808).

Almost surely, 2138114678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138114678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156473856).

138114678 is an abundant number, since it is smaller than the sum of its proper divisors (174833034).

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

138114678 is a wasteful number, since it uses less digits than its factorization.

138114678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669.

The product of its digits is 32256, while the sum is 39.

The square root of 138114678 is about 11752.2201306817. The cubic root of 138114678 is about 516.9080294881.

The spelling of 138114678 in words is "one hundred thirty-eight million, one hundred fourteen thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 167 299 334 461 501 598 897 922 1002 1383 1794 2171 2766 3841 4342 5993 6513 7682 10603 11523 11986 13026 17979 21206 23046 31809 35958 49933 63618 76987 99866 137839 149799 153974 230961 275678 299598 413517 461922 827034 1000831 1770701 2001662 3002493 3541402 5312103 6004986 10624206 23019113 46038226 69057339 138114678