135112440 has 64 divisors (see below), whose sum is σ = 406373760. Its totient is φ = 35937920.

The previous prime is 135112433. The next prime is 135112441. The reversal of 135112440 is 44211531.

It is a super-3 number, since 3×135112440³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135112441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54835 + ... + 57245.

It is an arithmetic number, because the mean of its divisors is an integer number (6349590).

Almost surely, 2^135112440 is an apocalyptic number.

135112440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135112440 is an abundant number, since it is smaller than the sum of its proper divisors (271261320).

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

135112440 is a wasteful number, since it uses less digits than its factorization.

135112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 135112440 is about 11623.7876787216. The cubic root of 135112440 is about 513.1351664774.

Adding to 135112440 its reverse (44211531), we get a palindrome (179323971).

Subtracting from 135112440 its reverse (44211531), we obtain a palindrome (90900909).

It can be divided in two parts, 13511 and 2440, that added together give a palindrome (15951).

The spelling of 135112440 in words is "one hundred thirty-five million, one hundred twelve thousand, four hundred forty".