| Base | Representation |
|---|---|
| bin | 10001101001011… |
| … | …00101000000000 |
| 3 | 101022112210201200 |
| 4 | 20310230220000 |
| 5 | 300344011000 |
| 6 | 22404501200 |
| 7 | 3445152114 |
| oct | 1064545000 |
| 9 | 338483650 |
| 10 | 148032000 |
| 11 | 766186a6 |
| 12 | 416aa800 |
| 13 | 248901cc |
| 14 | 15935744 |
| 15 | cee1500 |
| hex | 8d2ca00 |
148032000 has 240 divisors, whose sum is σ = 535258152. Its totient is φ = 39321600.
The previous prime is 148031987. The next prime is 148032013. The reversal of 148032000 is 230841.
It is a happy number.
148032000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (148031987) and next prime (148032013).
It can be written as a sum of positive squares in 4 ways, for example, as 91240704 + 56791296 = 9552^2 + 7536^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575872 + ... + 576128.
Almost surely, 2148032000 is an apocalyptic number.
148032000 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 148032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267629076).
148032000 is an abundant number, since it is smaller than the sum of its proper divisors (387226152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148032000 is an equidigital number, since it uses as much as digits as its factorization.
148032000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 296 (or 267 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 148032000 is about 12166.8401814111. The cubic root of 148032000 is about 528.9953675670.
Adding to 148032000 its reverse (230841), we get a palindrome (148262841).
The spelling of 148032000 in words is "one hundred forty-eight million, thirty-two thousand".
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