137131 has 2 divisors, whose sum is σ = 137132. Its totient is φ = 137130.

The previous prime is 137119. The next prime is 137143. The reversal of 137131 is 131731.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (137119) and next prime (137143).

It is an emirp because it is prime and its reverse (131731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137131 - 2¹³ = 128939 is a prime.

It is a super-2 number, since 2×137131² = 37609822322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68565 + 68566.

It is an arithmetic number, because the mean of its divisors is an integer number (68566).

2¹³⁷¹³¹ is an apocalyptic number.

137131 is a deficient number, since it is larger than the sum of its proper divisors (1).

137131 is an equidigital number, since it uses as much as digits as its factorization.

137131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 63, while the sum is 16.

The square root of 137131 is about 370.3120305904. The cubic root of 137131 is about 51.5677933348.

Adding to 137131 its reverse (131731), we get a palindrome (268862).

The spelling of 137131 in words is "one hundred thirty-seven thousand, one hundred thirty-one".