137229 has 8 divisors (see below), whose sum is σ = 184800. Its totient is φ = 90576.

The previous prime is 137219. The next prime is 137239. The reversal of 137229 is 922731.

It is an interprime number because it is at equal distance from previous prime (137219) and next prime (137239).

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

It is not a de Polignac number, because 137229 - 2⁵ = 137197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137199 and 137208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137209) 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, 294 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2¹³⁷²²⁹ is an apocalyptic number.

It is an amenable number.

137229 is a deficient number, since it is larger than the sum of its proper divisors (47571).

137229 is a wasteful number, since it uses less digits than its factorization.

137229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459.

The product of its digits is 756, while the sum is 24.

The square root of 137229 is about 370.4443278011. Note that the first 3 decimals coincide. The cubic root of 137229 is about 51.5800746336.

It can be divided in two parts, 13722 and 9, that added together give a palindrome (13731).

The spelling of 137229 in words is "one hundred thirty-seven thousand, two hundred twenty-nine".