135782409 has 32 divisors (see below), whose sum is σ = 218916864. Its totient is φ = 73180800.

The previous prime is 135782407. The next prime is 135782453. The reversal of 135782409 is 904287531.

It is not a de Polignac number, because 135782409 - 2¹ = 135782407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135782407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33334 + ... + 37184.

It is an arithmetic number, because the mean of its divisors is an integer number (6841152).

Almost surely, 2^135782409 is an apocalyptic number.

It is an amenable number.

135782409 is a deficient number, since it is larger than the sum of its proper divisors (83134455).

135782409 is a wasteful number, since it uses less digits than its factorization.

135782409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 135782409 is about 11652.5709180421. The cubic root of 135782409 is about 513.9819130438.

The spelling of 135782409 in words is "one hundred thirty-five million, seven hundred eighty-two thousand, four hundred nine".