126025000 has 72 divisors (see below), whose sum is σ = 299570670. Its totient is φ = 49700000.

The previous prime is 126024989. The next prime is 126025033. The reversal of 126025000 is 520621.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 181476 + 125843524 = 426^2 + 11218^2 .

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, 1774965 + ... + 1775035.

Almost surely, 2^126025000 is an apocalyptic number.

126025000 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 126025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149785335).

126025000 is an abundant number, since it is smaller than the sum of its proper divisors (173545670).

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

126025000 is an frugal number, since it uses more digits than its factorization.

126025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 126025000 is about 11226.0856935977. The cubic root of 126025000 is about 501.3629480362.

Adding to 126025000 its reverse (520621), we get a palindrome (126545621).

The spelling of 126025000 in words is "one hundred twenty-six million, twenty-five thousand".