384008115137 has 2 divisors, whose sum is σ = 384008115138. Its totient is φ = 384008115136.

The previous prime is 384008115133. The next prime is 384008115167. The reversal of 384008115137 is 731511800483.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258949694641 + 125058420496 = 508871^2 + 353636^2 .

It is an emirp because it is prime and its reverse (731511800483) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 384008115137 - 2² = 384008115133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 384008115094 and 384008115103.

It is not a weakly prime, because it can be changed into another prime (384008115133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192004057568 + 192004057569.

It is an arithmetic number, because the mean of its divisors is an integer number (192004057569).

Almost surely, 2^384008115137 is an apocalyptic number.

It is an amenable number.

384008115137 is a deficient number, since it is larger than the sum of its proper divisors (1).

384008115137 is an equidigital number, since it uses as much as digits as its factorization.

384008115137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 384008115137 in words is "three hundred eighty-four billion, eight million, one hundred fifteen thousand, one hundred thirty-seven".