127125000 has 168 divisors, whose sum is σ = 434174130. Its totient is φ = 33600000.

The previous prime is 127124993. The next prime is 127125001. The reversal of 127125000 is 521721.

It can be written as a sum of positive squares in 7 ways, for example, as 105390756 + 21734244 = 10266^2 + 4662^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127125001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1124944 + ... + 1125056.

Almost surely, 2^127125000 is an apocalyptic number.

127125000 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 127125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217087065).

127125000 is an abundant number, since it is smaller than the sum of its proper divisors (307049130).

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

127125000 is an equidigital number, since it uses as much as digits as its factorization.

127125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 127125000 is about 11274.9722837797. The cubic root of 127125000 is about 502.8174277162.

Adding to 127125000 its reverse (521721), we get a palindrome (127646721).

The spelling of 127125000 in words is "one hundred twenty-seven million, one hundred twenty-five thousand".