137122 has 16 divisors (see below), whose sum is σ = 225720. Its totient is φ = 62208.

The previous prime is 137119. The next prime is 137131. The reversal of 137122 is 221731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136161 + 961 = 369^2 + 31^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 137096 and 137105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204 + ... + 1312.

2¹³⁷¹²² is an apocalyptic number.

137122 is a deficient number, since it is larger than the sum of its proper divisors (88598).

137122 is a wasteful number, since it uses less digits than its factorization.

137122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its digits is 84, while the sum is 16.

The square root of 137122 is about 370.2998784769. The cubic root of 137122 is about 51.5666651671.

Adding to 137122 its reverse (221731), we get a palindrome (358853).

The spelling of 137122 in words is "one hundred thirty-seven thousand, one hundred twenty-two".