137005619 has 2 divisors, whose sum is σ = 137005620. Its totient is φ = 137005618.

The previous prime is 137005577. The next prime is 137005643. The reversal of 137005619 is 916500731.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137005619 is a prime.

It is a super-2 number, since 2×137005619² = 37541079275146322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137005679) 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, 68502809 + 68502810.

It is an arithmetic number, because the mean of its divisors is an integer number (68502810).

Almost surely, 2^137005619 is an apocalyptic number.

137005619 is a deficient number, since it is larger than the sum of its proper divisors (1).

137005619 is an equidigital number, since it uses as much as digits as its factorization.

137005619 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 137005619 is about 11704.9399400424. The cubic root of 137005619 is about 515.5207213133.

The spelling of 137005619 in words is "one hundred thirty-seven million, five thousand, six hundred nineteen".