137928 has 32 divisors (see below), whose sum is σ = 394560. Its totient is φ = 39360.

The previous prime is 137927. The next prime is 137933. The reversal of 137928 is 829731.

It is a happy number.

It is a d-powerful number, because it can be written as 1 + 3⁹ + 9² + 7⁶ + 2 + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 137895 and 137904.

It is not an unprimeable number, because it can be changed into a prime (137927) 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 in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (12330).

137928 is a Friedman number, since it can be written as (12+9)*(7+3^8), using all its digits and the basic arithmetic operations.

2¹³⁷⁹²⁸ is an apocalyptic number.

It is an amenable number.

137928 is an abundant number, since it is smaller than the sum of its proper divisors (256632).

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

137928 is a wasteful number, since it uses less digits than its factorization.

137928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

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

The square root of 137928 is about 371.3865910342. The cubic root of 137928 is about 51.6675037441.

The spelling of 137928 in words is "one hundred thirty-seven thousand, nine hundred twenty-eight".