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135320418 = 23241183361
BaseRepresentation
bin10000001000011…
…01001101100010
3100102121222201100
420010031031202
5234120223133
621232215230
73232130112
oct1004151542
9312558640
10135320418
116a426262
123939a516
132205c36c
1413d87042
15bd2ee13
hex810d362

135320418 has 24 divisors (see below), whose sum is σ = 300346956. Its totient is φ = 44006400.

The previous prime is 135320417. The next prime is 135320447. The reversal of 135320418 is 814023531.

It is a happy number.

135320418 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 2 ways, for example, as 101062809 + 34257609 = 10053^2 + 5853^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135320391 and 135320400.

It is not an unprimeable number, because it can be changed into a prime (135320417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90943 + ... + 92418.

Almost surely, 2135320418 is an apocalyptic number.

135320418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135320418 is an abundant number, since it is smaller than the sum of its proper divisors (165026538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135320418 is a wasteful number, since it uses less digits than its factorization.

135320418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183410 (or 183407 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135320418 is about 11632.7304619337. The cubic root of 135320418 is about 513.3983204207.

Adding to 135320418 its reverse (814023531), we get a palindrome (949343949).

The spelling of 135320418 in words is "one hundred thirty-five million, three hundred twenty thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 183361 366722 550083 1100166 1650249 3300498 7517801 15035602 22553403 45106806 67660209 135320418