122137 has 4 divisors (see below), whose sum is σ = 125476. Its totient is φ = 118800.

The previous prime is 122131. The next prime is 122147. The reversal of 122137 is 731221.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 731221 = 17 ⋅43013.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 52441 = 264^2 + 229^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122137 is a prime.

It is a Duffinian number.

122137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 122137.

It is not an unprimeable number, because it can be changed into a prime (122131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1614 + ... + 1687.

It is an arithmetic number, because the mean of its divisors is an integer number (31369).

2¹²²¹³⁷ is an apocalyptic number.

It is an amenable number.

122137 is a deficient number, since it is larger than the sum of its proper divisors (3339).

122137 is an equidigital number, since it uses as much as digits as its factorization.

122137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338.

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

The square root of 122137 is about 349.4810438350. The cubic root of 122137 is about 49.6153145998.

Adding to 122137 its product of digits (84), we get a palindrome (122221).

Adding to 122137 its reverse (731221), we get a palindrome (853358).

It can be divided in two parts, 12213 and 7, that multiplied together give a triangular number (85491 = T₄₁₃).

The spelling of 122137 in words is "one hundred twenty-two thousand, one hundred thirty-seven".