126137 has 4 divisors (see below), whose sum is σ = 137616. Its totient is φ = 114660.

The previous prime is 126131. The next prime is 126143. The reversal of 126137 is 731621.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (126131) and next prime (126143).

It is a cyclic number.

It is not a de Polignac number, because 126137 - 2¹⁰ = 125113 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126137.

It is not an unprimeable number, because it can be changed into a prime (126131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5723 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (34404).

2¹²⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

126137 is a deficient number, since it is larger than the sum of its proper divisors (11479).

126137 is a wasteful number, since it uses less digits than its factorization.

126137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478.

The product of its digits is 252, while the sum is 20.

The square root of 126137 is about 355.1577114466. The cubic root of 126137 is about 50.1511426576.

Adding to 126137 its reverse (731621), we get a palindrome (857758).

The spelling of 126137 in words is "one hundred twenty-six thousand, one hundred thirty-seven".