135043040 has 72 divisors (see below), whose sum is σ = 349303752. Its totient is φ = 48929280.

The previous prime is 135043009. The next prime is 135043049. The reversal of 135043040 is 40340531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135043049) 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 11 ways as a sum of consecutive naturals, for example, 487382 + ... + 487658.

It is an arithmetic number, because the mean of its divisors is an integer number (4851441).

Almost surely, 2^135043040 is an apocalyptic number.

135043040 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 135043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174651876).

135043040 is an abundant number, since it is smaller than the sum of its proper divisors (214260712).

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

135043040 is an equidigital number, since it uses as much as digits as its factorization.

135043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 135043040 is about 11620.8020377253. The cubic root of 135043040 is about 513.0472947769.

Adding to 135043040 its reverse (40340531), we get a palindrome (175383571).

The spelling of 135043040 in words is "one hundred thirty-five million, forty-three thousand, forty".