| Base | Representation |
|---|---|
| bin | 1000101011100111011… |
| … | …0000011111111000000 |
| 3 | 112020222022002202101200 |
| 4 | 2022321312003333000 |
| 5 | 4420423043020440 |
| 6 | 152303410301200 |
| 7 | 13526666160150 |
| oct | 2127166037700 |
| 9 | 466868082350 |
| 10 | 149146845120 |
| 11 | 58286562279 |
| 12 | 24aa4b87800 |
| 13 | 110ab8a81a0 |
| 14 | 730c34a760 |
| 15 | 3d2dc57c30 |
| hex | 22b9d83fc0 |
149146845120 has 1344 divisors, whose sum is σ = 667813386240. Its totient is φ = 29692624896.
The previous prime is 149146845109. The next prime is 149146845121. The reversal of 149146845120 is 21548641941.
149146845120 is a `hidden beast` number, since 1 + 4 + 91 + 46 + 8 + 4 + 512 + 0 = 666.
149146845120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (149146845121) 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 191 ways as a sum of consecutive naturals, for example, 657034447 + ... + 657034673.
It is an arithmetic number, because the mean of its divisors is an integer number (496884960).
Almost surely, 2149146845120 is an apocalyptic number.
149146845120 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 149146845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333906693120).
149146845120 is an abundant number, since it is smaller than the sum of its proper divisors (518666541120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149146845120 is a wasteful number, since it uses less digits than its factorization.
149146845120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 402 (or 389 counting only the distinct ones).
The product of its (nonzero) digits is 276480, while the sum is 45.
The spelling of 149146845120 in words is "one hundred forty-nine billion, one hundred forty-six million, eight hundred forty-five thousand, one hundred twenty".
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