127842546142757 has 2 divisors, whose sum is σ = 127842546142758. Its totient is φ = 127842546142756.

The previous prime is 127842546142723. The next prime is 127842546142777. The reversal of 127842546142757 is 757241645248721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100144071854401 + 27698474288356 = 10007201^2 + 5262934^2 .

It is an emirp because it is prime and its reverse (757241645248721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127842546142757 - 2⁶ = 127842546142693 is a prime.

It is a super-3 number, since 3×127842546142757³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 127842546142693 and 127842546142702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127842546142777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63921273071378 + 63921273071379.

It is an arithmetic number, because the mean of its divisors is an integer number (63921273071379).

Almost surely, 2^{127842546142757} is an apocalyptic number.

It is an amenable number.

127842546142757 is a deficient number, since it is larger than the sum of its proper divisors (1).

127842546142757 is an equidigital number, since it uses as much as digits as its factorization.

127842546142757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 210739200, while the sum is 65.

The spelling of 127842546142757 in words is "one hundred twenty-seven trillion, eight hundred forty-two billion, five hundred forty-six million, one hundred forty-two thousand, seven hundred fifty-seven".