2277128137 has 2 divisors, whose sum is σ = 2277128138. Its totient is φ = 2277128136.

The previous prime is 2277128099. The next prime is 2277128141. The reversal of 2277128137 is 7318217722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1421214601 + 855913536 = 37699^2 + 29256^2 .

It is a cyclic number.

It is not a de Polignac number, because 2277128137 - 2²⁷ = 2142910409 is a prime.

It is a super-3 number, since 3×2277128137³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2277128137.

It is not a weakly prime, because it can be changed into another prime (2277128237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1138564068 + 1138564069.

It is an arithmetic number, because the mean of its divisors is an integer number (1138564069).

Almost surely, 2^2277128137 is an apocalyptic number.

It is an amenable number.

2277128137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2277128137 is an equidigital number, since it uses as much as digits as its factorization.

2277128137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 65856, while the sum is 40.

The square root of 2277128137 is about 47719.2637935666. The cubic root of 2277128137 is about 1315.6160302381.

The spelling of 2277128137 in words is "two billion, two hundred seventy-seven million, one hundred twenty-eight thousand, one hundred thirty-seven".