135120240 has 120 divisors (see below), whose sum is σ = 460716048. Its totient is φ = 35481600.

The previous prime is 135120211. The next prime is 135120247. The reversal of 135120240 is 42021531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135120247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46840 + ... + 49640.

Almost surely, 2^135120240 is an apocalyptic number.

135120240 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 135120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230358024).

135120240 is an abundant number, since it is smaller than the sum of its proper divisors (325595808).

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

135120240 is a wasteful number, since it uses less digits than its factorization.

135120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135120240 is about 11624.1231927402. The cubic root of 135120240 is about 513.1450406663.

Adding to 135120240 its reverse (42021531), we get a palindrome (177141771).

The spelling of 135120240 in words is "one hundred thirty-five million, one hundred twenty thousand, two hundred forty".