135005440 has 72 divisors (see below), whose sum is σ = 334623240. Its totient is φ = 52125696.

The previous prime is 135005419. The next prime is 135005447. The reversal of 135005440 is 44500531.

135005440 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 4 ways, for example, as 73984 + 134931456 = 272^2 + 11616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135005447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35302 + ... + 38938.

It is an arithmetic number, because the mean of its divisors is an integer number (4647545).

Almost surely, 2^135005440 is an apocalyptic number.

135005440 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 135005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311620).

135005440 is an abundant number, since it is smaller than the sum of its proper divisors (199617800).

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

135005440 is an equidigital number, since it uses as much as digits as its factorization.

135005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 135005440 is about 11619.1841365907. The cubic root of 135005440 is about 512.9996744802. Note that the first 3 decimals are identical.

Adding to 135005440 its reverse (44500531), we get a palindrome (179505971).

The spelling of 135005440 in words is "one hundred thirty-five million, five thousand, four hundred forty".