| Base | Representation |
|---|---|
| bin | 10000100011001… |
| … | …00110111011100 |
| 3 | 100200020001100100 |
| 4 | 20101210313130 |
| 5 | 241014401210 |
| 6 | 21435301100 |
| 7 | 3303665064 |
| oct | 1021446734 |
| 9 | 320201310 |
| 10 | 138825180 |
| 11 | 713aa45a |
| 12 | 3a5aa790 |
| 13 | 229b86a0 |
| 14 | 1461a3a4 |
| 15 | c2c35c0 |
| hex | 8464ddc |
138825180 has 144 divisors (see below), whose sum is σ = 464877504. Its totient is φ = 33315840.
The previous prime is 138825173. The next prime is 138825187. The reversal of 138825180 is 81528831.
138825180 is a `hidden beast` number, since 138 + 8 + 2 + 518 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (138825173) and next prime (138825187).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138825187) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95217 + ... + 96663.
It is an arithmetic number, because the mean of its divisors is an integer number (3228316).
Almost surely, 2138825180 is an apocalyptic number.
138825180 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 138825180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232438752).
138825180 is an abundant number, since it is smaller than the sum of its proper divisors (326052324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138825180 is a wasteful number, since it uses less digits than its factorization.
138825180 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1516 (or 1511 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 36.
The square root of 138825180 is about 11782.4097705011. The cubic root of 138825180 is about 517.7928888831.
The spelling of 138825180 in words is "one hundred thirty-eight million, eight hundred twenty-five thousand, one hundred eighty".
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