| Base | Representation |
|---|---|
| bin | 10000011111010… |
| … | …11011000000000 |
| 3 | 100122021202201200 |
| 4 | 20033223120000 |
| 5 | 240402440202 |
| 6 | 21420501200 |
| 7 | 3266523216 |
| oct | 1017533000 |
| 9 | 318252650 |
| 10 | 138327552 |
| 11 | 7109a5a0 |
| 12 | 3a3aa800 |
| 13 | 2287302c |
| 14 | 1452acb6 |
| 15 | c225e1c |
| hex | 83eb600 |
138327552 has 120 divisors (see below), whose sum is σ = 435675240. Its totient is φ = 41902080.
The previous prime is 138327547. The next prime is 138327557. The reversal of 138327552 is 255723831.
It is a happy number.
138327552 is a `hidden beast` number, since 1 + 3 + 83 + 27 + 552 = 666.
It is an interprime number because it is at equal distance from previous prime (138327547) and next prime (138327557).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138327557) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49324 + ... + 52052.
It is an arithmetic number, because the mean of its divisors is an integer number (3630627).
Almost surely, 2138327552 is an apocalyptic number.
138327552 is a gapful number since it is divisible by the number (12) 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 138327552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217837620).
138327552 is an abundant number, since it is smaller than the sum of its proper divisors (297347688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138327552 is a wasteful number, since it uses less digits than its factorization.
138327552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2764 (or 2745 counting only the distinct ones).
The product of its digits is 50400, while the sum is 36.
The square root of 138327552 is about 11761.2734004444. The cubic root of 138327552 is about 517.1734605956.
The spelling of 138327552 in words is "one hundred thirty-eight million, three hundred twenty-seven thousand, five hundred fifty-two".
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