137385019 has 2 divisors, whose sum is σ = 137385020. Its totient is φ = 137385018.

The previous prime is 137385013. The next prime is 137385037. The reversal of 137385019 is 910583731.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137385019 - 2³ = 137385011 is a prime.

It is a super-2 number, since 2×137385019² = 37749286891260722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137385011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68692509 + 68692510.

It is an arithmetic number, because the mean of its divisors is an integer number (68692510).

Almost surely, 2^137385019 is an apocalyptic number.

137385019 is a deficient number, since it is larger than the sum of its proper divisors (1).

137385019 is an equidigital number, since it uses as much as digits as its factorization.

137385019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 137385019 is about 11721.1355678535. The cubic root of 137385019 is about 515.9961477889.

The spelling of 137385019 in words is "one hundred thirty-seven million, three hundred eighty-five thousand, nineteen".