| Base | Representation |
|---|---|
| bin | 111010101010010110… |
| … | …1101001101011000100 |
| 3 | 110001011102202112212100 |
| 4 | 1311110231221223010 |
| 5 | 4030444134224100 |
| 6 | 133512223552100 |
| 7 | 12046533265254 |
| oct | 1652455515304 |
| 9 | 401142675770 |
| 10 | 125975304900 |
| 11 | 49475859135 |
| 12 | 204b8a5b630 |
| 13 | bb58117943 |
| 14 | 6150b67964 |
| 15 | 3424861400 |
| hex | 1d54b69ac4 |
125975304900 has 81 divisors (see below), whose sum is σ = 394895972653. Its totient is φ = 33590575200.
The previous prime is 125975304893. The next prime is 125975304907. The reversal of 125975304900 is 9403579521.
It is a happy number.
The square root of 125975304900 is 354930.
It is a perfect power (a square), and thus also a powerful number.
125975304900 is a `hidden beast` number, since 1 + 2 + 597 + 53 + 0 + 4 + 9 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (125975304893) and next prime (125975304907).
It can be written as a sum of positive squares in only one way, i.e., 45351109764 + 80624195136 = 212958^2 + 283944^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (125975304907) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10641985 + ... + 10653815.
Almost surely, 2125975304900 is an apocalyptic number.
125975304900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
125975304900 is the 354930-th square number.
It is an amenable number.
125975304900 is an abundant number, since it is smaller than the sum of its proper divisors (268920667753).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125975304900 is an equidigital number, since it uses as much as digits as its factorization.
125975304900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23682 (or 11841 counting only the distinct ones).
The product of its (nonzero) digits is 340200, while the sum is 45.
The spelling of 125975304900 in words is "one hundred twenty-five billion, nine hundred seventy-five million, three hundred four thousand, nine hundred".
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