135509140 has 48 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 47399040.

The previous prime is 135509113. The next prime is 135509221. The reversal of 135509140 is 41905531.

135509140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135509099 and 135509108.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8776 + ... + 18655.

It is an arithmetic number, because the mean of its divisors is an integer number (6720840).

Almost surely, 2^135509140 is an apocalyptic number.

135509140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135509140 is an abundant number, since it is smaller than the sum of its proper divisors (187091180).

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

135509140 is a wasteful number, since it uses less digits than its factorization.

135509140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27472 (or 27470 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 135509140 is about 11640.8393168190. The cubic root of 135509140 is about 513.6368765637.

The spelling of 135509140 in words is "one hundred thirty-five million, five hundred nine thousand, one hundred forty".