128137 has 4 divisors (see below), whose sum is σ = 129556. Its totient is φ = 126720.

The previous prime is 128119. The next prime is 128147. The reversal of 128137 is 731821.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 35721 = 304^2 + 189^2 .

It is a cyclic number.

It is not a de Polignac number, because 128137 - 2¹⁵ = 95369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128147) 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, 564 + ... + 757.

It is an arithmetic number, because the mean of its divisors is an integer number (32389).

2¹²⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

128137 is a deficient number, since it is larger than the sum of its proper divisors (1419).

128137 is an equidigital number, since it uses as much as digits as its factorization.

128137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418.

The product of its digits is 336, while the sum is 22.

The square root of 128137 is about 357.9622885165. The cubic root of 128137 is about 50.4148157081.

Adding to 128137 its reverse (731821), we get a palindrome (859958).

The spelling of 128137 in words is "one hundred twenty-eight thousand, one hundred thirty-seven".