135418240 has 64 divisors (see below), whose sum is σ = 325143360. Its totient is φ = 53932032.

The previous prime is 135418219. The next prime is 135418249. The reversal of 135418240 is 42814531.

135418240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 135418199 and 135418208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135418249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292249 + ... + 292711.

It is an arithmetic number, because the mean of its divisors is an integer number (5080365).

Almost surely, 2^135418240 is an apocalyptic number.

135418240 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 135418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162571680).

135418240 is an abundant number, since it is smaller than the sum of its proper divisors (189725120).

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

135418240 is an equidigital number, since it uses as much as digits as its factorization.

135418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 135418240 is about 11636.9343041885. The cubic root of 135418240 is about 513.5220010756.

The spelling of 135418240 in words is "one hundred thirty-five million, four hundred eighteen thousand, two hundred forty".