| Base | Representation |
|---|---|
| bin | 111111000010011010… |
| … | …0001110010001110000 |
| 3 | 110221102022210202210000 |
| 4 | 1332010310032101300 |
| 5 | 4204220300044111 |
| 6 | 142104505310000 |
| 7 | 12531436204122 |
| oct | 1760464162160 |
| 9 | 427368722700 |
| 10 | 135372268656 |
| 11 | 52458131089 |
| 12 | 2229ba95300 |
| 13 | c9c4bb5521 |
| 14 | 67a2b93212 |
| 15 | 37c4801c56 |
| hex | 1f84d0e470 |
135372268656 has 200 divisors, whose sum is σ = 418395542400. Its totient is φ = 42162301440.
The previous prime is 135372268649. The next prime is 135372268657. The reversal of 135372268656 is 656862273531.
135372268656 is a `hidden beast` number, since 1 + 3 + 5 + 372 + 268 + 6 + 5 + 6 = 666.
It is a super-3 number, since 3×1353722686563 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135372268657) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1107010 + ... + 1223198.
It is an arithmetic number, because the mean of its divisors is an integer number (2091977712).
Almost surely, 2135372268656 is an apocalyptic number.
135372268656 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 135372268656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209197771200).
135372268656 is an abundant number, since it is smaller than the sum of its proper divisors (283023273744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135372268656 is a wasteful number, since it uses less digits than its factorization.
135372268656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116269 (or 116254 counting only the distinct ones).
The product of its digits is 10886400, while the sum is 54.
The spelling of 135372268656 in words is "one hundred thirty-five billion, three hundred seventy-two million, two hundred sixty-eight thousand, six hundred fifty-six".
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