137806167 has 16 divisors (see below), whose sum is σ = 189221760. Its totient is φ = 89144352.

The previous prime is 137806157. The next prime is 137806169. The reversal of 137806167 is 761608731.

It is a de Polignac number, because none of the positive numbers 2^k-137806167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137806169) 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 15 ways as a sum of consecutive naturals, for example, 45028 + ... + 47990.

It is an arithmetic number, because the mean of its divisors is an integer number (11826360).

Almost surely, 2^137806167 is an apocalyptic number.

137806167 is a deficient number, since it is larger than the sum of its proper divisors (51415593).

137806167 is a wasteful number, since it uses less digits than its factorization.

137806167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 137806167 is about 11739.0871450893. The cubic root of 137806167 is about 516.5228647781.

The spelling of 137806167 in words is "one hundred thirty-seven million, eight hundred six thousand, one hundred sixty-seven".