| Base | Representation |
|---|---|
| bin | 10000011101101… |
| … | …11100001101100 |
| 3 | 100121212222102001 |
| 4 | 20032313201230 |
| 5 | 240324141210 |
| 6 | 21412142044 |
| 7 | 3264650110 |
| oct | 1016674154 |
| 9 | 317788361 |
| 10 | 138115180 |
| 11 | 70a64a85 |
| 12 | 3a307924 |
| 13 | 227ca478 |
| 14 | 144b3740 |
| 15 | c1d303a |
| hex | 83b786c |
138115180 has 96 divisors (see below), whose sum is σ = 352396800. Its totient is φ = 44416512.
The previous prime is 138115171. The next prime is 138115189. The reversal of 138115180 is 81511831.
138115180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (138115171) and next prime (138115189).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is not an unprimeable number, because it can be changed into a prime (138115189) 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, 364231 + ... + 364609.
It is an arithmetic number, because the mean of its divisors is an integer number (3670800).
Almost surely, 2138115180 is an apocalyptic number.
138115180 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 138115180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176198400).
138115180 is an abundant number, since it is smaller than the sum of its proper divisors (214281620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138115180 is a wasteful number, since it uses less digits than its factorization.
138115180 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 551 (or 549 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 28.
The square root of 138115180 is about 11752.2414883289. The cubic root of 138115180 is about 516.9086557491.
It can be divided in two parts, 1381 and 15180, that added together give a palindrome (16561).
The spelling of 138115180 in words is "one hundred thirty-eight million, one hundred fifteen thousand, one hundred eighty".
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