137638733 has 2 divisors, whose sum is σ = 137638734. Its totient is φ = 137638732.

The previous prime is 137638723. The next prime is 137638751. The reversal of 137638733 is 337836731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123365449 + 14273284 = 11107^2 + 3778^2 .

It is an emirp because it is prime and its reverse (337836731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137638733 - 2¹⁴ = 137622349 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137638723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68819366 + 68819367.

It is an arithmetic number, because the mean of its divisors is an integer number (68819367).

Almost surely, 2^137638733 is an apocalyptic number.

It is an amenable number.

137638733 is a deficient number, since it is larger than the sum of its proper divisors (1).

137638733 is an equidigital number, since it uses as much as digits as its factorization.

137638733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 190512, while the sum is 41.

The square root of 137638733 is about 11731.9535031469. The cubic root of 137638733 is about 516.3135888543.

The spelling of 137638733 in words is "one hundred thirty-seven million, six hundred thirty-eight thousand, seven hundred thirty-three".