127829141474129 has 2 divisors, whose sum is σ = 127829141474130. Its totient is φ = 127829141474128.

The previous prime is 127829141474071. The next prime is 127829141474143. The reversal of 127829141474129 is 921474141928721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98068319673025 + 29760821801104 = 9902945^2 + 5455348^2 .

It is a cyclic number.

It is not a de Polignac number, because 127829141474129 - 2³⁶ = 127760421997393 is a prime.

It is a super-2 number, since 2×127829141474129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127829141474029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63914570737064 + 63914570737065.

It is an arithmetic number, because the mean of its divisors is an integer number (63914570737065).

Almost surely, 2^{127829141474129} is an apocalyptic number.

It is an amenable number.

127829141474129 is a deficient number, since it is larger than the sum of its proper divisors (1).

127829141474129 is an equidigital number, since it uses as much as digits as its factorization.

127829141474129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16257024, while the sum is 62.

The spelling of 127829141474129 in words is "one hundred twenty-seven trillion, eight hundred twenty-nine billion, one hundred forty-one million, four hundred seventy-four thousand, one hundred twenty-nine".