137228 has 36 divisors (see below), whose sum is σ = 307440. Its totient is φ = 52416.

The previous prime is 137219. The next prime is 137239. The reversal of 137228 is 822731.

137228 = 137² + 138² + ... + 143².

It is an unprimeable number.

137228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4718 + ... + 4746.

It is an arithmetic number, because the mean of its divisors is an integer number (8540).

2¹³⁷²²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153720).

137228 is an abundant number, since it is smaller than the sum of its proper divisors (170212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137228 is a wasteful number, since it uses less digits than its factorization.

137228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 51 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 137228 is about 370.4429780682. The cubic root of 137228 is about 51.5799493437.

Adding to 137228 its reverse (822731), we get a palindrome (959959).

It can be divided in two parts, 1372 and 28, that multiplied together give a 4-th power (38416 = 14⁴).

The spelling of 137228 in words is "one hundred thirty-seven thousand, two hundred twenty-eight".