121137 has 8 divisors (see below), whose sum is σ = 163200. Its totient is φ = 79920.

The previous prime is 121123. The next prime is 121139. The reversal of 121137 is 731121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 121137 - 2¹¹ = 119089 is a prime.

121137 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121137.

It is not an unprimeable number, because it can be changed into a prime (121139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (20400).

2¹²¹¹³⁷ is an apocalyptic number.

It is an amenable number.

121137 is a deficient number, since it is larger than the sum of its proper divisors (42063).

121137 is a wasteful number, since it uses less digits than its factorization.

121137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

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

The square root of 121137 is about 348.0474105636. The cubic root of 121137 is about 49.4795344436.

Adding to 121137 its reverse (731121), we get a palindrome (852258).

The spelling of 121137 in words is "one hundred twenty-one thousand, one hundred thirty-seven".