| Base | Representation |
|---|---|
| bin | 10000100000110… |
| … | …01111001010100 |
| 3 | 100122122110010000 |
| 4 | 20100121321110 |
| 5 | 240430034400 |
| 6 | 21424531300 |
| 7 | 3301245600 |
| oct | 1020317124 |
| 9 | 318573100 |
| 10 | 138518100 |
| 11 | 7120a776 |
| 12 | 3a480b30 |
| 13 | 2290b996 |
| 14 | 1457a500 |
| 15 | c262600 |
| hex | 8419e54 |
138518100 has 270 divisors, whose sum is σ = 523827150. Its totient is φ = 31570560.
The previous prime is 138518077. The next prime is 138518101. The reversal of 138518100 is 1815831.
138518100 is a `hidden beast` number, since 138 + 518 + 10 + 0 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 18352656 + 120165444 = 4284^2 + 10962^2 .
It is a tau number, because it is divible by the number of its divisors (270).
It is a super-2 number, since 2×1385181002 = 38374528055220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138518101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 396726 + ... + 397074.
Almost surely, 2138518100 is an apocalyptic number.
138518100 is a gapful number since it is divisible by the number (10) 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 138518100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261913575).
138518100 is an abundant number, since it is smaller than the sum of its proper divisors (385309050).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138518100 is a wasteful number, since it uses less digits than its factorization.
138518100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 389 (or 366 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 27.
The square root of 138518100 is about 11769.3712661297. The cubic root of 138518100 is about 517.4108226928.
The spelling of 138518100 in words is "one hundred thirty-eight million, five hundred eighteen thousand, one hundred".
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