127056500 has 72 divisors (see below), whose sum is σ = 286141128. Its totient is φ = 49276800.

The previous prime is 127056497. The next prime is 127056509. The reversal of 127056500 is 5650721.

It can be written as a sum of positive squares in 4 ways, for example, as 4024036 + 123032464 = 2006^2 + 11092^2 .

It is a super-2 number, since 2×127056500² = 32286708384500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127056500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127056509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1740464 + ... + 1740536.

Almost surely, 2^127056500 is an apocalyptic number.

127056500 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 127056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143070564).

127056500 is an abundant number, since it is smaller than the sum of its proper divisors (159084628).

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

127056500 is an equidigital number, since it uses as much as digits as its factorization.

127056500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 127056500 is about 11271.9341729803. The cubic root of 127056500 is about 502.7270988219.

The spelling of 127056500 in words is "one hundred twenty-seven million, fifty-six thousand, five hundred".