137504 has 12 divisors (see below), whose sum is σ = 270774. Its totient is φ = 68736.

The previous prime is 137491. The next prime is 137507. The reversal of 137504 is 405731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 21904 = 340^2 + 148^2 .

It is not an unprimeable number, because it can be changed into a prime (137507) by changing a digit.

137504 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 as a sum of consecutive naturals, namely, 2117 + ... + 2180.

2¹³⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

137504 is a deficient number, since it is larger than the sum of its proper divisors (133270).

137504 is an equidigital number, since it uses as much as digits as its factorization.

137504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 137504 is about 370.8153179145. The cubic root of 137504 is about 51.6145062674.

The spelling of 137504 in words is "one hundred thirty-seven thousand, five hundred four".