135810440 has 32 divisors (see below), whose sum is σ = 309015000. Its totient is φ = 53712384.

The previous prime is 135810413. The next prime is 135810443. The reversal of 135810440 is 44018531.

It can be written as a sum of positive squares in 4 ways, for example, as 116079076 + 19731364 = 10774^2 + 4442^2 .

It is a super-2 number, since 2×135810440² = 36888951225987200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135810443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15515 + ... + 22634.

Almost surely, 2^135810440 is an apocalyptic number.

135810440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135810440 is an abundant number, since it is smaller than the sum of its proper divisors (173204560).

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

135810440 is a wasteful number, since it uses less digits than its factorization.

135810440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38249 (or 38245 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 135810440 is about 11653.7736377536. The cubic root of 135810440 is about 514.0172795192.

Adding to 135810440 its reverse (44018531), we get a palindrome (179828971).

The spelling of 135810440 in words is "one hundred thirty-five million, eight hundred ten thousand, four hundred forty".