137084409 has 72 divisors (see below), whose sum is σ = 254508800. Its totient is φ = 71018640.

The previous prime is 137084407. The next prime is 137084471. The reversal of 137084409 is 904480731.

It is a happy number.

It is not a de Polignac number, because 137084409 - 2¹ = 137084407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137084401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 373344 + ... + 373710.

Almost surely, 2^137084409 is an apocalyptic number.

It is an amenable number.

137084409 is a deficient number, since it is larger than the sum of its proper divisors (117424391).

137084409 is a wasteful number, since it uses less digits than its factorization.

137084409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137084409 is about 11708.3051292661. The cubic root of 137084409 is about 515.6195252752.

The spelling of 137084409 in words is "one hundred thirty-seven million, eighty-four thousand, four hundred nine".