129137 has 8 divisors (see below), whose sum is σ = 137640. Its totient is φ = 120960.

The previous prime is 129127. The next prime is 129169. The reversal of 129137 is 731921.

It can be written as a sum of positive squares in 4 ways, for example, as 2401 + 126736 = 49^2 + 356^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 129137 - 2⁴ = 129121 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129127) 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, 1733 + ... + 1805.

It is an arithmetic number, because the mean of its divisors is an integer number (17205).

2¹²⁹¹³⁷ is an apocalyptic number.

It is an amenable number.

129137 is a deficient number, since it is larger than the sum of its proper divisors (8503).

129137 is an equidigital number, since it uses as much as digits as its factorization.

129137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163.

The product of its digits is 378, while the sum is 23.

The square root of 129137 is about 359.3563690823. The cubic root of 129137 is about 50.5456242260.

The spelling of 129137 in words is "one hundred twenty-nine thousand, one hundred thirty-seven".