137006409 has 8 divisors (see below), whose sum is σ = 182827840. Its totient is φ = 91261296.

The previous prime is 137006407. The next prime is 137006413. The reversal of 137006409 is 904600731.

It is a happy number.

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

It is not a de Polignac number, because 137006409 - 2¹ = 137006407 is a prime.

It is a super-2 number, since 2×137006409² = 37541512214150562, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137006407) 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, 14749 + ... + 22170.

It is an arithmetic number, because the mean of its divisors is an integer number (22853480).

Almost surely, 2^137006409 is an apocalyptic number.

It is an amenable number.

137006409 is a deficient number, since it is larger than the sum of its proper divisors (45821431).

137006409 is a wasteful number, since it uses less digits than its factorization.

137006409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38159.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 137006409 is about 11704.9736864292. The cubic root of 137006409 is about 515.5217121744.

The spelling of 137006409 in words is "one hundred thirty-seven million, six thousand, four hundred nine".