137126 has 16 divisors (see below), whose sum is σ = 235008. Its totient is φ = 59400.

The previous prime is 137119. The next prime is 137131. The reversal of 137126 is 621731.

It is a happy number.

137126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137098 and 137107.

It is a congruent number.

It is an unprimeable number.

137126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (14688).

2¹³⁷¹²⁶ is an apocalyptic number.

137126 is a deficient number, since it is larger than the sum of its proper divisors (97882).

137126 is a wasteful number, since it uses less digits than its factorization.

137126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307.

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

The square root of 137126 is about 370.3052794655. The cubic root of 137126 is about 51.5671665810.

Adding to 137126 its reverse (621731), we get a palindrome (758857).

The spelling of 137126 in words is "one hundred thirty-seven thousand, one hundred twenty-six".