127542600164 has 96 divisors (see below), whose sum is σ = 271633098240. Its totient is φ = 51330395136.

The previous prime is 127542600161. The next prime is 127542600167. The reversal of 127542600164 is 461006245721.

It is a happy number.

127542600164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (127542600161) and next prime (127542600167).

It is a super-2 number, since 2×127542600164² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127542600161) 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 31 ways as a sum of consecutive naturals, for example, 89003192 + ... + 89004624.

It is an arithmetic number, because the mean of its divisors is an integer number (2829511440).

Almost surely, 2^127542600164 is an apocalyptic number.

127542600164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127542600164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135816549120).

127542600164 is an abundant number, since it is smaller than the sum of its proper divisors (144090498076).

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

127542600164 is a wasteful number, since it uses less digits than its factorization.

127542600164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

Adding to 127542600164 its reverse (461006245721), we get a palindrome (588548845885).

The spelling of 127542600164 in words is "one hundred twenty-seven billion, five hundred forty-two million, six hundred thousand, one hundred sixty-four".