137563 has 4 divisors (see below), whose sum is σ = 143568. Its totient is φ = 131560.

The previous prime is 137537. The next prime is 137567. The reversal of 137563 is 365731.

It is a happy number.

137563 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: 365731 = 19 ⋅19249.

It is not a de Polignac number, because 137563 - 2¹⁷ = 6491 is a prime.

It is a d-powerful number, because it can be written as 1 + 3² + 5⁷ + 7³ + 6² + 3¹⁰ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137567) 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, 2968 + ... + 3013.

It is an arithmetic number, because the mean of its divisors is an integer number (35892).

2¹³⁷⁵⁶³ is an apocalyptic number.

137563 is a deficient number, since it is larger than the sum of its proper divisors (6005).

137563 is an equidigital number, since it uses as much as digits as its factorization.

137563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004.

The product of its digits is 1890, while the sum is 25.

The square root of 137563 is about 370.8948638091. The cubic root of 137563 is about 51.6218874355.

The spelling of 137563 in words is "one hundred thirty-seven thousand, five hundred sixty-three".