137124109 has 8 divisors (see below), whose sum is σ = 141008120. Its totient is φ = 133249536.

The previous prime is 137124107. The next prime is 137124133. The reversal of 137124109 is 901421731.

It can be written as a sum of positive squares in 4 ways, for example, as 8868484 + 128255625 = 2978^2 + 11325^2 .

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 137124109 - 2¹ = 137124107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137124107) 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, 35497 + ... + 39169.

It is an arithmetic number, because the mean of its divisors is an integer number (17626015).

Almost surely, 2^137124109 is an apocalyptic number.

It is an amenable number.

137124109 is a deficient number, since it is larger than the sum of its proper divisors (3884011).

137124109 is a wasteful number, since it uses less digits than its factorization.

137124109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 137124109 is about 11710.0003842869. Note that the first 3 decimals coincide. The cubic root of 137124109 is about 515.6692953878.

The spelling of 137124109 in words is "one hundred thirty-seven million, one hundred twenty-four thousand, one hundred nine".