127787130 has 72 divisors (see below), whose sum is σ = 353011932. Its totient is φ = 32072064.

The previous prime is 127787129. The next prime is 127787171. The reversal of 127787130 is 31787721.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 48986001 + 78801129 = 6999^2 + 8877^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7516882 + ... + 7516898.

Almost surely, 2^127787130 is an apocalyptic number.

127787130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127787130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176505966).

127787130 is an abundant number, since it is smaller than the sum of its proper divisors (225224802).

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

127787130 is an frugal number, since it uses more digits than its factorization.

127787130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 127787130 is about 11304.2969706214. The cubic root of 127787130 is about 503.6888905752.

The spelling of 127787130 in words is "one hundred twenty-seven million, seven hundred eighty-seven thousand, one hundred thirty".