126130000 has 50 divisors (see below), whose sum is σ = 305397554. Its totient is φ = 50448000.

The previous prime is 126129931. The next prime is 126130013. The reversal of 126130000 is 31621.

It can be written as a sum of positive squares in 5 ways, for example, as 54287424 + 71842576 = 7368^2 + 8476^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3694 + ... + 16306.

Almost surely, 2^126130000 is an apocalyptic number.

126130000 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 126130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152698777).

126130000 is an abundant number, since it is smaller than the sum of its proper divisors (179267554).

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

126130000 is an equidigital number, since it uses as much as digits as its factorization.

126130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12641 (or 12620 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 126130000 is about 11230.7613277106. The cubic root of 126130000 is about 501.5021492426.

Adding to 126130000 its reverse (31621), we get a palindrome (126161621).

The spelling of 126130000 in words is "one hundred twenty-six million, one hundred thirty thousand".