137405409 has 16 divisors (see below), whose sum is σ = 188055360. Its totient is φ = 89210880.

The previous prime is 137405369. The next prime is 137405413. The reversal of 137405409 is 904504731.

It is not a de Polignac number, because 137405409 - 2²⁰ = 136356833 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137405409.

It is not an unprimeable number, because it can be changed into a prime (137405419) 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 15 ways as a sum of consecutive naturals, for example, 14049 + ... + 21729.

It is an arithmetic number, because the mean of its divisors is an integer number (11753460).

Almost surely, 2^137405409 is an apocalyptic number.

It is an amenable number.

137405409 is a deficient number, since it is larger than the sum of its proper divisors (50649951).

137405409 is an equidigital number, since it uses as much as digits as its factorization.

137405409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 137405409 is about 11722.0053318534. The cubic root of 137405409 is about 516.0216737185.

The spelling of 137405409 in words is "one hundred thirty-seven million, four hundred five thousand, four hundred nine".