127745280 has 216 divisors, whose sum is σ = 476542248. Its totient is φ = 31408128.

The previous prime is 127745273. The next prime is 127745281. The reversal of 127745280 is 82547721.

127745280 is a `hidden beast` number, since 127 + 7 + 4 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 125081856 = 1632^2 + 11184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127745281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149334 + ... + 150186.

Almost surely, 2^127745280 is an apocalyptic number.

127745280 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 127745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238271124).

127745280 is an abundant number, since it is smaller than the sum of its proper divisors (348796968).

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

127745280 is a wasteful number, since it uses less digits than its factorization.

127745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 127745280 is about 11302.4457530218. The cubic root of 127745280 is about 503.6338989089.

The spelling of 127745280 in words is "one hundred twenty-seven million, seven hundred forty-five thousand, two hundred eighty".