127130400 has 108 divisors (see below), whose sum is σ = 448318962. Its totient is φ = 33899520.

The previous prime is 127130363. The next prime is 127130413. The reversal of 127130400 is 4031721.

It can be written as a sum of positive squares in 3 ways, for example, as 67963536 + 59166864 = 8244^2 + 7692^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1629 + ... + 16028.

Almost surely, 2^127130400 is an apocalyptic number.

127130400 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 127130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224159481).

127130400 is an abundant number, since it is smaller than the sum of its proper divisors (321188562).

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

127130400 is a wasteful number, since it uses less digits than its factorization.

127130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17683 (or 17667 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 127130400 is about 11275.2117496746. The cubic root of 127130400 is about 502.8245471542.

The spelling of 127130400 in words is "one hundred twenty-seven million, one hundred thirty thousand, four hundred".