127502864121144 has 128 divisors (see below), whose sum is σ = 330296634144000. Its totient is φ = 40967251928064.

The previous prime is 127502864121107. The next prime is 127502864121179. The reversal of 127502864121144 is 441121468205721.

It is a junction number, because it is equal to n+sod(n) for n = 127502864121093 and 127502864121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2704344979 + ... + 2704392125.

It is an arithmetic number, because the mean of its divisors is an integer number (2580442454250).

Almost surely, 2^{127502864121144} 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 127502864121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165148317072000).

127502864121144 is an abundant number, since it is smaller than the sum of its proper divisors (202793770022856).

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

127502864121144 is a wasteful number, since it uses less digits than its factorization.

127502864121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53557 (or 53553 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 127502864121144 in words is "one hundred twenty-seven trillion, five hundred two billion, eight hundred sixty-four million, one hundred twenty-one thousand, one hundred forty-four".