135344040 has 128 divisors (see below), whose sum is σ = 442108800. Its totient is φ = 32947200.

The previous prime is 135344023. The next prime is 135344059. The reversal of 135344040 is 40443531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135344040.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 157131 + ... + 157989.

It is an arithmetic number, because the mean of its divisors is an integer number (3453975).

Almost surely, 2^135344040 is an apocalyptic number.

135344040 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 135344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221054400).

135344040 is an abundant number, since it is smaller than the sum of its proper divisors (306764760).

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

135344040 is a wasteful number, since it uses less digits than its factorization.

135344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 135344040 is about 11633.7457424511. The cubic root of 135344040 is about 513.4281922111.

Adding to 135344040 its reverse (40443531), we get a palindrome (175787571).

The spelling of 135344040 in words is "one hundred thirty-five million, three hundred forty-four thousand, forty".