135307040 has 144 divisors (see below), whose sum is σ = 364989240. Its totient is φ = 47308800.

The previous prime is 135307019. The next prime is 135307057. The reversal of 135307040 is 40703531.

It is a happy number.

135307040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121969936 + 13337104 = 11044^2 + 3652^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135306997 and 135307015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561320 + ... + 561560.

Almost surely, 2^135307040 is an apocalyptic number.

135307040 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 135307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182494620).

135307040 is an abundant number, since it is smaller than the sum of its proper divisors (229682200).

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

135307040 is a wasteful number, since it uses less digits than its factorization.

135307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 135307040 is about 11632.1554322490. The cubic root of 135307040 is about 513.3814013945.

The spelling of 135307040 in words is "one hundred thirty-five million, three hundred seven thousand, forty".