127513280 has 56 divisors (see below), whose sum is σ = 311078880. Its totient is φ = 49756160.

The previous prime is 127513259. The next prime is 127513301. The reversal of 127513280 is 82315721.

It is an interprime number because it is at equal distance from previous prime (127513259) and next prime (127513301).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8261 + ... + 17979.

It is an arithmetic number, because the mean of its divisors is an integer number (5554980).

Almost surely, 2^127513280 is an apocalyptic number.

127513280 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 127513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155539440).

127513280 is an abundant number, since it is smaller than the sum of its proper divisors (183565600).

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

127513280 is an equidigital number, since it uses as much as digits as its factorization.

127513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9777 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 127513280 is about 11292.1778236087. The cubic root of 127513280 is about 503.3288286173.

The spelling of 127513280 in words is "one hundred twenty-seven million, five hundred thirteen thousand, two hundred eighty".