| Base | Representation |
|---|---|
| bin | 10011100100001… |
| … | …11001010101100 |
| 3 | 102102211202002110 |
| 4 | 21302013022230 |
| 5 | 314004202000 |
| 6 | 24141524020 |
| 7 | 4032044331 |
| oct | 1162071254 |
| 9 | 372752073 |
| 10 | 164131500 |
| 11 | 84714475 |
| 12 | 46b73610 |
| 13 | 28009140 |
| 14 | 17b26988 |
| 15 | e621850 |
| hex | 9c872ac |
164131500 has 192 divisors, whose sum is σ = 543029760. Its totient is φ = 38188800.
The previous prime is 164131493. The next prime is 164131507. The reversal of 164131500 is 5131461.
164131500 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 (164131493) and next prime (164131507).
It is not an unprimeable number, because it can be changed into a prime (164131507) 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 63 ways as a sum of consecutive naturals, for example, 370279 + ... + 370721.
It is an arithmetic number, because the mean of its divisors is an integer number (2828280).
Almost surely, 2164131500 is an apocalyptic number.
164131500 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 164131500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271514880).
164131500 is an abundant number, since it is smaller than the sum of its proper divisors (378898260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164131500 is a wasteful number, since it uses less digits than its factorization.
164131500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 497 (or 485 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 21.
The square root of 164131500 is about 12811.3816585097. The cubic root of 164131500 is about 547.5166275887.
Adding to 164131500 its reverse (5131461), we get a palindrome (169262961).
The spelling of 164131500 in words is "one hundred sixty-four million, one hundred thirty-one thousand, five hundred".
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