| Base | Representation |
|---|---|
| bin | 1000000001000011010… |
| … | …0101011111010000000 |
| 3 | 111011111000201212011200 |
| 4 | 2000100310223322000 |
| 5 | 4224023111402011 |
| 6 | 143133535141200 |
| 7 | 12643600613163 |
| oct | 2002064537200 |
| 9 | 434430655150 |
| 10 | 137721200256 |
| 11 | 53453033172 |
| 12 | 22836674800 |
| 13 | ccaa730693 |
| 14 | 6946b1bada |
| 15 | 38b0b3b856 |
| hex | 2010d2be80 |
137721200256 has 192 divisors, whose sum is σ = 435304584000. Its totient is φ = 41599844352.
The previous prime is 137721200251. The next prime is 137721200293. The reversal of 137721200256 is 652002127731.
137721200256 is a `hidden beast` number, since 137 + 72 + 1 + 200 + 256 = 666.
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 self number, because there is not a number n which added to its sum of digits gives 137721200256.
It is not an unprimeable number, because it can be changed into a prime (137721200251) 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, 366640 + ... + 640208.
It is an arithmetic number, because the mean of its divisors is an integer number (2267211375).
Almost surely, 2137721200256 is an apocalyptic number.
137721200256 is a gapful number since it is divisible by the number (16) 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 137721200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217652292000).
137721200256 is an abundant number, since it is smaller than the sum of its proper divisors (297583383744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137721200256 is a wasteful number, since it uses less digits than its factorization.
137721200256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 273631 (or 273616 counting only the distinct ones).
The product of its (nonzero) digits is 35280, while the sum is 36.
Adding to 137721200256 its reverse (652002127731), we get a palindrome (789723327987).
The spelling of 137721200256 in words is "one hundred thirty-seven billion, seven hundred twenty-one million, two hundred thousand, two hundred fifty-six".
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