| Base | Representation |
|---|---|
| bin | 11101110100001000010110… |
| … | …110011111111100100000000 |
| 3 | 122012021111102212122200201000 |
| 4 | 131310020112303333210000 |
| 5 | 114141331000433302303 |
| 6 | 1142514155234212000 |
| 7 | 36422343635155002 |
| oct | 3564102663774400 |
| 9 | 565244385580630 |
| 10 | 131125734275328 |
| 11 | 38865125615161 |
| 12 | 12859067124000 |
| 13 | 5822146a46cc0 |
| 14 | 245473b34a372 |
| 15 | 1025d3440eda3 |
| hex | 774216cff900 |
131125734275328 has 1152 divisors, whose sum is σ = 461943445340160. Its totient is φ = 36277555691520.
The previous prime is 131125734275251. The next prime is 131125734275357. The reversal of 131125734275328 is 823572437521131.
131125734275328 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 57 + 34 + 27 + 532 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-3 number, since 3×1311257342753283 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37347117093 + ... + 37347120603.
It is an arithmetic number, because the mean of its divisors is an integer number (400992574080).
Almost surely, 2131125734275328 is an apocalyptic number.
131125734275328 is a gapful number since it is divisible by the number (18) 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 131125734275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230971722670080).
131125734275328 is an abundant number, since it is smaller than the sum of its proper divisors (330817711064832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131125734275328 is a wasteful number, since it uses less digits than its factorization.
131125734275328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4652 (or 4632 counting only the distinct ones).
The product of its digits is 8467200, while the sum is 54.
The spelling of 131125734275328 in words is "one hundred thirty-one trillion, one hundred twenty-five billion, seven hundred thirty-four million, two hundred seventy-five thousand, three hundred twenty-eight".
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