| Base | Representation |
|---|---|
| bin | 10001001110100… |
| … | …11011100101000 |
| 3 | 101001221102112122 |
| 4 | 20213103130220 |
| 5 | 243444133000 |
| 6 | 22201330412 |
| 7 | 3403260011 |
| oct | 1047233450 |
| 9 | 331842478 |
| 10 | 144521000 |
| 11 | 7463a848 |
| 12 | 40496a08 |
| 13 | 23c310b0 |
| 14 | 152a0008 |
| 15 | ca4b085 |
| hex | 89d3728 |
144521000 has 64 divisors (see below), whose sum is σ = 364225680. Its totient is φ = 53356800.
The previous prime is 144520991. The next prime is 144521009. The reversal of 144521000 is 125441.
It is an interprime number because it is at equal distance from previous prime (144520991) and next prime (144521009).
It can be written as a sum of positive squares in 8 ways, for example, as 8145316 + 136375684 = 2854^2 + 11678^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 144521000.
It is not an unprimeable number, because it can be changed into a prime (144521009) 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 15 ways as a sum of consecutive naturals, for example, 7442 + ... + 18558.
Almost surely, 2144521000 is an apocalyptic number.
144521000 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 144521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182112840).
144521000 is an abundant number, since it is smaller than the sum of its proper divisors (219704680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144521000 is a wasteful number, since it uses less digits than its factorization.
144521000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11151 (or 11137 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 17.
The square root of 144521000 is about 12021.6887332854. The cubic root of 144521000 is about 524.7796505377.
Adding to 144521000 its reverse (125441), we get a palindrome (144646441).
The spelling of 144521000 in words is "one hundred forty-four million, five hundred twenty-one thousand".
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