127840144300 has 144 divisors (see below), whose sum is σ = 310796295264. Its totient is φ = 45239040000.

The previous prime is 127840144277. The next prime is 127840144301. The reversal of 127840144300 is 3441048721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (127840144301) 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 47 ways as a sum of consecutive naturals, for example, 18983734 + ... + 18990466.

It is an arithmetic number, because the mean of its divisors is an integer number (2158307606).

Almost surely, 2^127840144300 is an apocalyptic number.

127840144300 is a gapful number since it is divisible by the number (10) 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 127840144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155398147632).

127840144300 is an abundant number, since it is smaller than the sum of its proper divisors (182956150964).

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

127840144300 is a wasteful number, since it uses less digits than its factorization.

127840144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 127840144300 in words is "one hundred twenty-seven billion, eight hundred forty million, one hundred forty-four thousand, three hundred".