137828 has 6 divisors (see below), whose sum is σ = 241206. Its totient is φ = 68912.

The previous prime is 137827. The next prime is 137831. The reversal of 137828 is 828731.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 13924 = 352^2 + 118^2 .

It is a plaindrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 137828.

It is not an unprimeable number, because it can be changed into a prime (137827) 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 as a sum of consecutive naturals, namely, 17225 + ... + 17232.

It is an arithmetic number, because the mean of its divisors is an integer number (40201).

2¹³⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

137828 is a deficient number, since it is larger than the sum of its proper divisors (103378).

137828 is a wasteful number, since it uses less digits than its factorization.

137828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34461 (or 34459 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 137828 is about 371.2519360219. The cubic root of 137828 is about 51.6550141371.

The spelling of 137828 in words is "one hundred thirty-seven thousand, eight hundred twenty-eight".