| Base | Representation |
|---|---|
| bin | 1111111110101… |
| … | …00101101010000 |
| 3 | 100100012221212021 |
| 4 | 13333110231100 |
| 5 | 233303243100 |
| 6 | 21144541224 |
| 7 | 3215216224 |
| oct | 777245520 |
| 9 | 310187767 |
| 10 | 134040400 |
| 11 | 6973159a |
| 12 | 38a81814 |
| 13 | 21a01860 |
| 14 | 13b32784 |
| 15 | bb7aa1a |
| hex | 7fd4b50 |
134040400 has 120 divisors (see below), whose sum is σ = 351149400. Its totient is φ = 48875520.
The previous prime is 134040371. The next prime is 134040409. The reversal of 134040400 is 4040431.
134040400 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 12 ways, for example, as 56670784 + 77369616 = 7528^2 + 8796^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (134040409) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774714 + ... + 774886.
It is an arithmetic number, because the mean of its divisors is an integer number (2926245).
Almost surely, 2134040400 is an apocalyptic number.
134040400 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 134040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175574700).
134040400 is an abundant number, since it is smaller than the sum of its proper divisors (217109000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134040400 is a wasteful number, since it uses less digits than its factorization.
134040400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 353 (or 342 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 134040400 is about 11577.5817855025. The cubic root of 134040400 is about 511.7744164118.
Adding to 134040400 its reverse (4040431), we get a palindrome (138080831).
The spelling of 134040400 in words is "one hundred thirty-four million, forty thousand, four hundred".
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