137413 has 2 divisors, whose sum is σ = 137414. Its totient is φ = 137412.

The previous prime is 137399. The next prime is 137437. The reversal of 137413 is 314731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 20449 = 342^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 137413 - 2¹³ = 129221 is a prime.

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137443) 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 as a sum of consecutive naturals, namely, 68706 + 68707.

It is an arithmetic number, because the mean of its divisors is an integer number (68707).

2¹³⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

137413 is a deficient number, since it is larger than the sum of its proper divisors (1).

137413 is an equidigital number, since it uses as much as digits as its factorization.

137413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 137413 is about 370.6925950164. The cubic root of 137413 is about 51.6031176130.

It can be divided in two parts, 13 and 7413, that multiplied together give a palindrome (96369).

The spelling of 137413 in words is "one hundred thirty-seven thousand, four hundred thirteen".