135120343040 has 52 divisors (see below), whose sum is σ = 324249286404. Its totient is φ = 54048129024.

The previous prime is 135120343027. The next prime is 135120343049. The reversal of 135120343040 is 40343021531.

It can be written as a sum of positive squares in 2 ways, for example, as 23553654784 + 111566688256 = 153472^2 + 334016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135120343049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3278357 + ... + 3319316.

Almost surely, 2^135120343040 is an apocalyptic number.

135120343040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135120343040 is an abundant number, since it is smaller than the sum of its proper divisors (189128943364).

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

135120343040 is an frugal number, since it uses more digits than its factorization.

135120343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597702 (or 6597680 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 135120343040 its reverse (40343021531), we get a palindrome (175463364571).

The spelling of 135120343040 in words is "one hundred thirty-five billion, one hundred twenty million, three hundred forty-three thousand, forty".