| Base | Representation |
|---|---|
| bin | 10000010000111… |
| … | …01000111100000 |
| 3 | 100111201120110110 |
| 4 | 20020131013200 |
| 5 | 234411343034 |
| 6 | 21312131320 |
| 7 | 3244446120 |
| oct | 1010350740 |
| 9 | 314646413 |
| 10 | 136434144 |
| 11 | 70016aa0 |
| 12 | 39836b40 |
| 13 | 2235c282 |
| 14 | 14196c80 |
| 15 | be9ede9 |
| hex | 821d1e0 |
136434144 has 96 divisors (see below), whose sum is σ = 446535936. Its totient is φ = 35435520.
The previous prime is 136434127. The next prime is 136434149. The reversal of 136434144 is 441434631.
136434144 is nontrivially palindromic in base 9.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1364341442 = 37228551298025472, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (136434149) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837 + ... + 16620.
It is an arithmetic number, because the mean of its divisors is an integer number (4651416).
Almost surely, 2136434144 is an apocalyptic number.
136434144 is a gapful number since it is divisible by the number (14) 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 136434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223267968).
136434144 is an abundant number, since it is smaller than the sum of its proper divisors (310101792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136434144 is a wasteful number, since it uses less digits than its factorization.
136434144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18488 (or 18480 counting only the distinct ones).
The product of its digits is 13824, while the sum is 30.
The square root of 136434144 is about 11680.5027289068. The cubic root of 136434144 is about 514.8029459451.
Adding to 136434144 its reverse (441434631), we get a palindrome (577868775).
The spelling of 136434144 in words is "one hundred thirty-six million, four hundred thirty-four thousand, one hundred forty-four".
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