137989 has 4 divisors (see below), whose sum is σ = 146124. Its totient is φ = 129856.

The previous prime is 137983. The next prime is 137993. The reversal of 137989 is 989731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 989731 = 43 ⋅23017.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 21025 = 342^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 137989 - 2⁵ = 137957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4042 + ... + 4075.

It is an arithmetic number, because the mean of its divisors is an integer number (36531).

2¹³⁷⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

137989 is a deficient number, since it is larger than the sum of its proper divisors (8135).

137989 is an equidigital number, since it uses as much as digits as its factorization.

137989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134.

The product of its digits is 13608, while the sum is 37.

The square root of 137989 is about 371.4687066228. The cubic root of 137989 is about 51.6751194402.

The spelling of 137989 in words is "one hundred thirty-seven thousand, nine hundred eighty-nine".