| Base | Representation |
|---|---|
| bin | 10000011110110… |
| … | …01110111100000 |
| 3 | 100122011010100200 |
| 4 | 20033121313200 |
| 5 | 240343141330 |
| 6 | 21415145200 |
| 7 | 3266104152 |
| oct | 1017316740 |
| 9 | 318133320 |
| 10 | 138255840 |
| 11 | 71050728 |
| 12 | 3a375200 |
| 13 | 228494b8 |
| 14 | 1450cad2 |
| 15 | c20ea60 |
| hex | 83d9de0 |
138255840 has 144 divisors (see below), whose sum is σ = 479173968. Its totient is φ = 36292608.
The previous prime is 138255827. The next prime is 138255857. The reversal of 138255840 is 48552831.
It is a happy number.
138255840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1382558402 = 38229354588211200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 138255795 and 138255804.
It is a congruent number.
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, 95764 + ... + 97196.
It is an arithmetic number, because the mean of its divisors is an integer number (3327597).
Almost surely, 2138255840 is an apocalyptic number.
138255840 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 138255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239586984).
138255840 is an abundant number, since it is smaller than the sum of its proper divisors (340918128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138255840 is a wasteful number, since it uses less digits than its factorization.
138255840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1521 (or 1510 counting only the distinct ones).
The product of its (nonzero) digits is 38400, while the sum is 36.
The square root of 138255840 is about 11758.2243557435. The cubic root of 138255840 is about 517.0840738381.
The spelling of 138255840 in words is "one hundred thirty-eight million, two hundred fifty-five thousand, eight hundred forty".
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