| Base | Representation |
|---|---|
| bin | 10001101010010… |
| … | …11010010000000 |
| 3 | 101022210011222100 |
| 4 | 20311023102000 |
| 5 | 300412020233 |
| 6 | 22411310400 |
| 7 | 3446214156 |
| oct | 1065132200 |
| 9 | 338704870 |
| 10 | 148157568 |
| 11 | 766a3a79 |
| 12 | 4174b400 |
| 13 | 24905400 |
| 14 | 159693d6 |
| 15 | d018813 |
| hex | 8d4b480 |
148157568 has 144 divisors (see below), whose sum is σ = 462263490. Its totient is φ = 45527040.
The previous prime is 148157561. The next prime is 148157579. The reversal of 148157568 is 865751841.
148157568 is a `hidden beast` number, since 1 + 4 + 81 + 5 + 7 + 568 = 666.
148157568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 24681024 + 123476544 = 4968^2 + 11112^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (148157561) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194308 + ... + 195068.
Almost surely, 2148157568 is an apocalyptic number.
148157568 is a gapful number since it is divisible by the number (18) 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 148157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231131745).
148157568 is an abundant number, since it is smaller than the sum of its proper divisors (314105922).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148157568 is a wasteful number, since it uses less digits than its factorization.
148157568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 807 (or 779 counting only the distinct ones).
The product of its digits is 268800, while the sum is 45.
The square root of 148157568 is about 12171.9993427538. Note that the first 3 decimals coincide. The cubic root of 148157568 is about 529.1448985638.
It can be divided in two parts, 1481 and 57568, that added together give a 10-th power (59049 = 310).
The spelling of 148157568 in words is "one hundred forty-eight million, one hundred fifty-seven thousand, five hundred sixty-eight".
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