137513 has 4 divisors (see below), whose sum is σ = 145620. Its totient is φ = 129408.

The previous prime is 137507. The next prime is 137519. The reversal of 137513 is 315731.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (137507) and next prime (137519).

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 94249 = 208^2 + 307^2 .

It is a cyclic number.

It is not a de Polignac number, because 137513 - 2¹² = 133417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137519) 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 3 ways as a sum of consecutive naturals, for example, 4028 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (36405).

2¹³⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

137513 is a deficient number, since it is larger than the sum of its proper divisors (8107).

137513 is an equidigital number, since it uses as much as digits as its factorization.

137513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106.

The product of its digits is 315, while the sum is 20.

The square root of 137513 is about 370.8274531369. The cubic root of 137513 is about 51.6156323448.

The spelling of 137513 in words is "one hundred thirty-seven thousand, five hundred thirteen".