| Base | Representation |
|---|---|
| bin | 1110111100000… |
| … | …10101110100000 |
| 3 | 22201210201020100 |
| 4 | 13132002232200 |
| 5 | 224040103000 |
| 6 | 20233542400 |
| 7 | 3051111525 |
| oct | 736025640 |
| 9 | 281721210 |
| 10 | 125316000 |
| 11 | 64812847 |
| 12 | 35b74a00 |
| 13 | 1cc687a4 |
| 14 | 1290114c |
| 15 | b005a00 |
| hex | 7782ba0 |
125316000 has 216 divisors, whose sum is σ = 452412324. Its totient is φ = 32851200.
The previous prime is 125315999. The next prime is 125316019. The reversal of 125316000 is 613521.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
125316000 is a `hidden beast` number, since 12 + 53 + 1 + 600 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 84713616 + 40602384 = 9204^2 + 6372^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 2123971 + ... + 2124029.
Almost surely, 2125316000 is an apocalyptic number.
125316000 is a gapful number since it is divisible by the number (10) 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 125316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226206162).
125316000 is an abundant number, since it is smaller than the sum of its proper divisors (327096324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125316000 is an equidigital number, since it uses as much as digits as its factorization.
125316000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 125316000 is about 11194.4629169961. The cubic root of 125316000 is about 500.4209787876.
Adding to 125316000 its reverse (613521), we get a palindrome (125929521).
The spelling of 125316000 in words is "one hundred twenty-five million, three hundred sixteen thousand".
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