137386 has 8 divisors (see below), whose sum is σ = 209124. Its totient is φ = 67680.

The previous prime is 137383. The next prime is 137387. The reversal of 137386 is 683731.

It can be written as a sum of positive squares in 2 ways, for example, as 136161 + 1225 = 369^2 + 35^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3² + 3⁹ + 7⁶ + 8 + 6² .

It is not an unprimeable number, because it can be changed into a prime (137383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 325 + ... + 616.

2¹³⁷³⁸⁶ is an apocalyptic number.

137386 is a deficient number, since it is larger than the sum of its proper divisors (71738).

137386 is an equidigital number, since it uses as much as digits as its factorization.

137386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016.

The product of its digits is 3024, while the sum is 28.

The square root of 137386 is about 370.6561749115. The cubic root of 137386 is about 51.5997375946.

It can be divided in two parts, 13738 and 6, that multiplied together give a palindrome (82428).

The spelling of 137386 in words is "one hundred thirty-seven thousand, three hundred eighty-six".