137428 has 24 divisors (see below), whose sum is σ = 266112. Its totient is φ = 61824.

The previous prime is 137413. The next prime is 137437. The reversal of 137428 is 824731.

It is a plaindrome in base 7 and base 15.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

137428 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, 2901 + ... + 2947.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2¹³⁷⁴²⁸ is an apocalyptic number.

It is an amenable number.

137428 is a deficient number, since it is larger than the sum of its proper divisors (128684).

137428 is a wasteful number, since it uses less digits than its factorization.

137428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 137428 is about 370.7128268620. The cubic root of 137428 is about 51.6049952098.

It can be divided in two parts, 137 and 428, that added together give a palindrome (565).

The spelling of 137428 in words is "one hundred thirty-seven thousand, four hundred twenty-eight".