137503 has 4 divisors (see below), whose sum is σ = 144760. Its totient is φ = 130248.

The previous prime is 137491. The next prime is 137507. The reversal of 137503 is 305731.

137503 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 305731 = 37 ⋅8263.

It is a cyclic number.

It is not a de Polignac number, because 137503 - 2⁹ = 136991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 7237 = 137503 / (1 + 3 + 7 + 5 + 0 + 3).

It is a Duffinian number.

137503 is a lucky number.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3600 + ... + 3637.

It is an arithmetic number, because the mean of its divisors is an integer number (36190).

2¹³⁷⁵⁰³ is an apocalyptic number.

137503 is a deficient number, since it is larger than the sum of its proper divisors (7257).

137503 is an equidigital number, since it uses as much as digits as its factorization.

137503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 137503 is about 370.8139695319. The cubic root of 137503 is about 51.6143811447.

The spelling of 137503 in words is "one hundred thirty-seven thousand, five hundred three".