127000133448320 has 256 divisors, whose sum is σ = 336069432034560. Its totient is φ = 45505130496000.

The previous prime is 127000133448313. The next prime is 127000133448367. The reversal of 127000133448320 is 23844331000721.

It is a super-2 number, since 2×127000133448320² (a number of 29 digits) contains 22 as substring.

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, 876147050 + ... + 876291990.

It is an arithmetic number, because the mean of its divisors is an integer number (1312771218885).

Almost surely, 2^{127000133448320} is an apocalyptic number.

127000133448320 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 127000133448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168034716017280).

127000133448320 is an abundant number, since it is smaller than the sum of its proper divisors (209069298586240).

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

127000133448320 is a wasteful number, since it uses less digits than its factorization.

127000133448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146795 (or 146783 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 127000133448320 in words is "one hundred twenty-seven trillion, one hundred thirty-three million, four hundred forty-eight thousand, three hundred twenty".