126630000 has 400 divisors, whose sum is σ = 526831360. Its totient is φ = 28512000.

The previous prime is 126629983. The next prime is 126630011. The reversal of 126630000 is 36621.

126630000 = 51³ + 52³ + ... + 150³.

It is a happy number.

126630000 is a `hidden beast` number, since 1 + 2 + 663 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889967 + ... + 1890033.

Almost surely, 2^126630000 is an apocalyptic number.

126630000 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 126630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263415680).

126630000 is an abundant number, since it is smaller than the sum of its proper divisors (400201360).

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

126630000 is an equidigital number, since it uses as much as digits as its factorization.

126630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 126630000 is about 11252.9996001066. Note that the first 3 decimals coincide. The cubic root of 126630000 is about 502.1639544250.

Adding to 126630000 its reverse (36621), we get a palindrome (126666621).

The spelling of 126630000 in words is "one hundred twenty-six million, six hundred thirty thousand".