127161262208 has 72 divisors (see below), whose sum is σ = 259711772445. Its totient is φ = 62017288704.

The previous prime is 127161262201. The next prime is 127161262271. The reversal of 127161262208 is 802262161721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 82112048704 + 45049213504 = 286552^2 + 212248^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=252152.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127161262201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 173480210 + ... + 173480942.

Almost surely, 2^127161262208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127161262208

127161262208 is an abundant number, since it is smaller than the sum of its proper divisors (132550510237).

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

127161262208 is an frugal number, since it uses more digits than its factorization.

127161262208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 127161262208 in words is "one hundred twenty-seven billion, one hundred sixty-one million, two hundred sixty-two thousand, two hundred eight".