135105440 has 48 divisors (see below), whose sum is σ = 329495040. Its totient is φ = 52296960.

The previous prime is 135105431. The next prime is 135105479. The reversal of 135105440 is 44501531.

It is a super-3 number, since 3×135105440³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8660 + ... + 18579.

It is an arithmetic number, because the mean of its divisors is an integer number (6864480).

Almost surely, 2^135105440 is an apocalyptic number.

135105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135105440 is an abundant number, since it is smaller than the sum of its proper divisors (194389600).

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

135105440 is a wasteful number, since it uses less digits than its factorization.

135105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27285 (or 27277 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 135105440 is about 11623.4865681516. The cubic root of 135105440 is about 513.1263047022.

Adding to 135105440 its reverse (44501531), we get a palindrome (179606971).

The spelling of 135105440 in words is "one hundred thirty-five million, one hundred five thousand, four hundred forty".