38752741440137 has 2 divisors, whose sum is σ = 38752741440138. Its totient is φ = 38752741440136.

The previous prime is 38752741440107. The next prime is 38752741440169. The reversal of 38752741440137 is 73104414725783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35264404531456 + 3488336908681 = 5938384^2 + 1867709^2 .

It is a cyclic number.

It is not a de Polignac number, because 38752741440137 - 2³⁶ = 38684021963401 is a prime.

It is a super-2 number, since 2×38752741440137² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38752741440107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19376370720068 + 19376370720069.

It is an arithmetic number, because the mean of its divisors is an integer number (19376370720069).

Almost surely, 2^{38752741440137} is an apocalyptic number.

It is an amenable number.

38752741440137 is a deficient number, since it is larger than the sum of its proper divisors (1).

38752741440137 is an equidigital number, since it uses as much as digits as its factorization.

38752741440137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15805440, while the sum is 56.

The spelling of 38752741440137 in words is "thirty-eight trillion, seven hundred fifty-two billion, seven hundred forty-one million, four hundred forty thousand, one hundred thirty-seven".