137186137 has 24 divisors (see below), whose sum is σ = 159654240. Its totient is φ = 116881920.

The previous prime is 137186131. The next prime is 137186171. The reversal of 137186137 is 731681731.

It is a happy number.

It is not a de Polignac number, because 137186137 - 2¹⁹ = 136661849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137186096 and 137186105.

It is not an unprimeable number, because it can be changed into a prime (137186131) 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 23 ways as a sum of consecutive naturals, for example, 710713 + ... + 710905.

It is an arithmetic number, because the mean of its divisors is an integer number (6652260).

Almost surely, 2^137186137 is an apocalyptic number.

It is an amenable number.

137186137 is a deficient number, since it is larger than the sum of its proper divisors (22468103).

137186137 is a wasteful number, since it uses less digits than its factorization.

137186137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 137186137 is about 11712.6485903061. The cubic root of 137186137 is about 515.7470378883.

The spelling of 137186137 in words is "one hundred thirty-seven million, one hundred eighty-six thousand, one hundred thirty-seven".