137552813 has 2 divisors, whose sum is σ = 137552814. Its totient is φ = 137552812.

The previous prime is 137552783. The next prime is 137552897. The reversal of 137552813 is 318255731.

137552813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111471364 + 26081449 = 10558^2 + 5107^2 .

It is a cyclic number.

It is not a de Polignac number, because 137552813 - 2¹⁶ = 137487277 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137552413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68776406 + 68776407.

It is an arithmetic number, because the mean of its divisors is an integer number (68776407).

Almost surely, 2^137552813 is an apocalyptic number.

It is an amenable number.

137552813 is a deficient number, since it is larger than the sum of its proper divisors (1).

137552813 is an equidigital number, since it uses as much as digits as its factorization.

137552813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25200, while the sum is 35.

The square root of 137552813 is about 11728.2911372459. The cubic root of 137552813 is about 516.2061314630.

The spelling of 137552813 in words is "one hundred thirty-seven million, five hundred fifty-two thousand, eight hundred thirteen".