127249158400 has 567 divisors, whose sum is σ = 397894729071. Its totient is φ = 40272261120.

The previous prime is 127249158389. The next prime is 127249158403. The reversal of 127249158400 is 4851942721.

The square root of 127249158400 is 356720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 32798658816 + 94450499584 = 181104^2 + 307328^2 .

It is not an unprimeable number, because it can be changed into a prime (127249158403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9788396794 + ... + 9788396806.

Almost surely, 2^127249158400 is an apocalyptic number.

127249158400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127249158400 is the 356720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127249158400

127249158400 is an abundant number, since it is smaller than the sum of its proper divisors (270645570671).

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

127249158400 is an frugal number, since it uses more digits than its factorization.

127249158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 127249158400 in words is "one hundred twenty-seven billion, two hundred forty-nine million, one hundred fifty-eight thousand, four hundred".