| Base | Representation |
|---|---|
| bin | 10001110011011… |
| … | …00111110000000 |
| 3 | 101102000110122000 |
| 4 | 20321230332000 |
| 5 | 301213003003 |
| 6 | 22452544000 |
| 7 | 3462255423 |
| oct | 1071547600 |
| 9 | 342013560 |
| 10 | 149344128 |
| 11 | 773344aa |
| 12 | 42022000 |
| 13 | 24c2c50b |
| 14 | 15b979ba |
| 15 | d1a01a3 |
| hex | 8e6cf80 |
149344128 has 128 divisors (see below), whose sum is σ = 447168000. Its totient is φ = 49061376.
The previous prime is 149344121. The next prime is 149344147. The reversal of 149344128 is 821443941.
It is a happy number.
149344128 is a `hidden beast` number, since 1 + 493 + 44 + 128 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 11.
It is a junction number, because it is equal to n+sod(n) for n = 149344092 and 149344101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (149344121) 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, 272751 + ... + 273297.
It is an arithmetic number, because the mean of its divisors is an integer number (3493500).
Almost surely, 2149344128 is an apocalyptic number.
149344128 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 149344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223584000).
149344128 is an abundant number, since it is smaller than the sum of its proper divisors (297823872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149344128 is an equidigital number, since it uses as much as digits as its factorization.
149344128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 649 (or 631 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 149344128 is about 12220.6435182440. The cubic root of 149344128 is about 530.5537442556.
The spelling of 149344128 in words is "one hundred forty-nine million, three hundred forty-four thousand, one hundred twenty-eight".
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