| Base | Representation |
|---|---|
| bin | 11111100001001010111001… |
| … | …011001110111001110000000 |
| 3 | 200011210211120102211222221200 |
| 4 | 133201022321121313032000 |
| 5 | 121132112434034411330 |
| 6 | 1210452345305021200 |
| 7 | 41124612124111131 |
| oct | 3741127131671600 |
| 9 | 604724512758850 |
| 10 | 138618885075840 |
| 11 | 40193a36924a54 |
| 12 | 13669328184800 |
| 13 | 5c46921506820 |
| 14 | 2633292ca1c88 |
| 15 | 1105bde2b4a60 |
| hex | 7e12b9677380 |
138618885075840 has 768 divisors, whose sum is σ = 522999098818560. Its totient is φ = 33624918835200.
The previous prime is 138618885075817. The next prime is 138618885075841. The reversal of 138618885075840 is 48570588816831.
138618885075840 is a `hidden beast` number, since 1 + 3 + 8 + 61 + 8 + 8 + 8 + 507 + 58 + 4 + 0 = 666.
138618885075840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138618885075841) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14157781345 + ... + 14157791135.
It is an arithmetic number, because the mean of its divisors is an integer number (680988409920).
Almost surely, 2138618885075840 is an apocalyptic number.
138618885075840 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 138618885075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261499549409280).
138618885075840 is an abundant number, since it is smaller than the sum of its proper divisors (384380213742720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138618885075840 is a wasteful number, since it uses less digits than its factorization.
138618885075840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12563 (or 12548 counting only the distinct ones).
The product of its (nonzero) digits is 412876800, while the sum is 72.
The spelling of 138618885075840 in words is "one hundred thirty-eight trillion, six hundred eighteen billion, eight hundred eighty-five million, seventy-five thousand, eight hundred forty".
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