127732225920 has 256 divisors, whose sum is σ = 457531200000. Its totient is φ = 30074609664.

The previous prime is 127732225913. The next prime is 127732225939. The reversal of 127732225920 is 29522237721.

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, 462831 + ... + 685329.

It is an arithmetic number, because the mean of its divisors is an integer number (1787231250).

Almost surely, 2^127732225920 is an apocalyptic number.

127732225920 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 127732225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228765600000).

127732225920 is an abundant number, since it is smaller than the sum of its proper divisors (329798974080).

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

127732225920 is a wasteful number, since it uses less digits than its factorization.

127732225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222557 (or 222545 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 127732225920 in words is "one hundred twenty-seven billion, seven hundred thirty-two million, two hundred twenty-five thousand, nine hundred twenty".