137028 has 24 divisors (see below), whose sum is σ = 337120. Its totient is φ = 43200.

The previous prime is 136999. The next prime is 137029. The reversal of 137028 is 820731.

It is a junction number, because it is equal to n+sod(n) for n = 136995 and 137013.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137028.

It is not an unprimeable number, because it can be changed into a prime (137029) by changing a digit.

137028 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 528.

2¹³⁷⁰²⁸ is an apocalyptic number.

It is an amenable number.

137028 is an abundant number, since it is smaller than the sum of its proper divisors (200092).

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

137028 is a wasteful number, since it uses less digits than its factorization.

137028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 137028 is about 370.1729325599. The cubic root of 137028 is about 51.5548791308.

Adding to 137028 its reverse (820731), we get a palindrome (957759).

The spelling of 137028 in words is "one hundred thirty-seven thousand, twenty-eight".