137806409 has 8 divisors (see below), whose sum is σ = 154859712. Its totient is φ = 121674960.

The previous prime is 137806393. The next prime is 137806423. The reversal of 137806409 is 904608731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137806409 - 2⁴ = 137806393 is a prime.

It is a super-2 number, since 2×137806409² = 37981212722950562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137806469) 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 7 ways as a sum of consecutive naturals, for example, 230147 + ... + 230744.

It is an arithmetic number, because the mean of its divisors is an integer number (19357464).

Almost surely, 2^137806409 is an apocalyptic number.

It is an amenable number.

137806409 is a deficient number, since it is larger than the sum of its proper divisors (17053303).

137806409 is a wasteful number, since it uses less digits than its factorization.

137806409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460927.

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 137806409 is about 11739.0974525302. The cubic root of 137806409 is about 516.5231671314.

The spelling of 137806409 in words is "one hundred thirty-seven million, eight hundred six thousand, four hundred nine".