137121 has 4 divisors (see below), whose sum is σ = 182832. Its totient is φ = 91412.

The previous prime is 137119. The next prime is 137131. The reversal of 137121 is 121731.

137121 is nontrivially palindromic in base 2.

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, and also an emirpimes, since its reverse is a distinct semiprime: 121731 = 3 ⋅40577.

It is a cyclic number.

It is not a de Polignac number, because 137121 - 2¹ = 137119 is a prime.

It is a D-number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137121.

It is not an unprimeable number, because it can be changed into a prime (137131) 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, 22851 + ... + 22856.

It is an arithmetic number, because the mean of its divisors is an integer number (45708).

2¹³⁷¹²¹ is an apocalyptic number.

It is an amenable number.

137121 is a deficient number, since it is larger than the sum of its proper divisors (45711).

137121 is an equidigital number, since it uses as much as digits as its factorization.

137121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45710.

The product of its digits is 42, while the sum is 15.

The square root of 137121 is about 370.2985282174. The cubic root of 137121 is about 51.5665398120.

Adding to 137121 its reverse (121731), we get a palindrome (258852).

The spelling of 137121 in words is "one hundred thirty-seven thousand, one hundred twenty-one".