137906813 has 8 divisors (see below), whose sum is σ = 151109280. Its totient is φ = 124815280.

The previous prime is 137906773. The next prime is 137906819. The reversal of 137906813 is 318609731.

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 137906813 - 2⁸ = 137906557 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 (137906819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25118 + ... + 30111.

It is an arithmetic number, because the mean of its divisors is an integer number (18888660).

Almost surely, 2^137906813 is an apocalyptic number.

It is an amenable number.

137906813 is a deficient number, since it is larger than the sum of its proper divisors (13202467).

137906813 is a wasteful number, since it uses less digits than its factorization.

137906813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55467.

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 137906813 is about 11743.3731525486. The cubic root of 137906813 is about 516.6485807520.

The spelling of 137906813 in words is "one hundred thirty-seven million, nine hundred six thousand, eight hundred thirteen".