137829 has 4 divisors (see below), whose sum is σ = 183776. Its totient is φ = 91884.

The previous prime is 137827. The next prime is 137831. The reversal of 137829 is 928731.

It is a happy number.

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: 928731 = 3 ⋅309577.

It is an interprime number because it is at equal distance from previous prime (137827) and next prime (137831).

It is not a de Polignac number, because 137829 - 2¹ = 137827 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 137796 and 137805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137827) 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, 22969 + ... + 22974.

It is an arithmetic number, because the mean of its divisors is an integer number (45944).

2¹³⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

137829 is a deficient number, since it is larger than the sum of its proper divisors (45947).

137829 is an equidigital number, since it uses as much as digits as its factorization.

137829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45946.

The product of its digits is 3024, while the sum is 30.

The square root of 137829 is about 371.2532828138. The cubic root of 137829 is about 51.6551390631.

The spelling of 137829 in words is "one hundred thirty-seven thousand, eight hundred twenty-nine".