| Base | Representation |
|---|---|
| bin | 11111100001000100101010… |
| … | …111100110011011111000000 |
| 3 | 200011210012022112221101021200 |
| 4 | 133201010222330303133000 |
| 5 | 121132010241213021100 |
| 6 | 1210445322103221200 |
| 7 | 41124254352014460 |
| oct | 3741045274633700 |
| 9 | 604705275841250 |
| 10 | 138612200126400 |
| 11 | 401911163a4550 |
| 12 | 13667b81447800 |
| 13 | 5c460c756b040 |
| 14 | 2632c1b115ba0 |
| 15 | 110594c47de00 |
| hex | 7e112af337c0 |
138612200126400 has 4032 divisors, whose sum is σ = 712552409726976. Its totient is φ = 24608821248000.
The previous prime is 138612200126359. The next prime is 138612200126479. The reversal of 138612200126400 is 4621002216831.
It is a happy number.
138612200126400 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 1 + 2 + 2 + 0 + 0 + 1 + 2 + 640 + 0 = 666.
138612200126400 is digitally balanced in base 3, 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 (4032).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10277460457 + ... + 10277473943.
It is an arithmetic number, because the mean of its divisors is an integer number (176724307968).
Almost surely, 2138612200126400 is an apocalyptic number.
138612200126400 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 138612200126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356276204863488).
138612200126400 is an abundant number, since it is smaller than the sum of its proper divisors (573940209600576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138612200126400 is a wasteful number, since it uses less digits than its factorization.
138612200126400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13600 (or 13582 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 138612200126400 in words is "one hundred thirty-eight trillion, six hundred twelve billion, two hundred million, one hundred twenty-six thousand, four hundred".
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