| Base | Representation |
|---|---|
| bin | 1110111110101… |
| … | …01010010000000 |
| 3 | 22202102220002012 |
| 4 | 13133111102000 |
| 5 | 224131413034 |
| 6 | 20245112052 |
| 7 | 3054020420 |
| oct | 737252200 |
| 9 | 282386065 |
| 10 | 125654144 |
| 11 | 64a23900 |
| 12 | 360b8628 |
| 13 | 20056685 |
| 14 | 1298c480 |
| 15 | b070cce |
| hex | 77d5480 |
125654144 has 192 divisors, whose sum is σ = 336436800. Its totient is φ = 45619200.
The previous prime is 125654143. The next prime is 125654147. The reversal of 125654144 is 441456521.
It is a Harshad number since it is a multiple of its sum of digits (32).
Its product of digits (19200) is a multiple of the sum of its prime divisors (100).
It is a self number, because there is not a number n which added to its sum of digits gives 125654144.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (125654141) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 2059874 + ... + 2059934.
It is an arithmetic number, because the mean of its divisors is an integer number (1752275).
Almost surely, 2125654144 is an apocalyptic number.
125654144 is a gapful number since it is divisible by the number (14) 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 125654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168218400).
125654144 is an abundant number, since it is smaller than the sum of its proper divisors (210782656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125654144 is a wasteful number, since it uses less digits than its factorization.
125654144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123 (or 100 counting only the distinct ones).
The product of its digits is 19200, while the sum is 32.
The square root of 125654144 is about 11209.5559234075. Note that the first 3 decimals coincide. The cubic root of 125654144 is about 500.8706749701.
The spelling of 125654144 in words is "one hundred twenty-five million, six hundred fifty-four thousand, one hundred forty-four".
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