127772761275252 has 96 divisors (see below), whose sum is σ = 332319363344640. Its totient is φ = 42455075011200.

The previous prime is 127772761275223. The next prime is 127772761275253. The reversal of 127772761275252 is 252572167277721.

127772761275252 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 7 + 2 + 7 + 612 + 7 + 5 + 2 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 127772761275252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127772761275253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436395377 + ... + 1436484327.

It is an arithmetic number, because the mean of its divisors is an integer number (3461660034840).

Almost surely, 2^{127772761275252} is an apocalyptic number.

127772761275252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127772761275252 is an abundant number, since it is smaller than the sum of its proper divisors (204546602069388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127772761275252 is a wasteful number, since it uses less digits than its factorization.

127772761275252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131238 (or 131230 counting only the distinct ones).

The product of its digits is 80673600, while the sum is 63.

The spelling of 127772761275252 in words is "one hundred twenty-seven trillion, seven hundred seventy-two billion, seven hundred sixty-one million, two hundred seventy-five thousand, two hundred fifty-two".