| Base | Representation |
|---|---|
| bin | 1111000111001… |
| … | …10101110000000 |
| 3 | 22211112210102200 |
| 4 | 13203212232000 |
| 5 | 224423233034 |
| 6 | 20325113200 |
| 7 | 3066363630 |
| oct | 743465600 |
| 9 | 284483380 |
| 10 | 126774144 |
| 11 | 65619322 |
| 12 | 36558800 |
| 13 | 203593b3 |
| 14 | 12ba06c0 |
| 15 | b1e2a99 |
| hex | 78e6b80 |
126774144 has 192 divisors, whose sum is σ = 424320000. Its totient is φ = 35582976.
The previous prime is 126774143. The next prime is 126774169. The reversal of 126774144 is 441477621.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 126774099 and 126774108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126774143) 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 23 ways as a sum of consecutive naturals, for example, 636957 + ... + 637155.
It is an arithmetic number, because the mean of its divisors is an integer number (2210000).
Almost surely, 2126774144 is an apocalyptic number.
126774144 is a gapful number since it is divisible by the number (14) 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 126774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212160000).
126774144 is an abundant number, since it is smaller than the sum of its proper divisors (297545856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126774144 is a wasteful number, since it uses less digits than its factorization.
126774144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 305 (or 290 counting only the distinct ones).
The product of its digits is 37632, while the sum is 36.
The square root of 126774144 is about 11259.4024708241. The cubic root of 126774144 is about 502.3544213320.
The spelling of 126774144 in words is "one hundred twenty-six million, seven hundred seventy-four thousand, one hundred forty-four".
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