126441000 has 320 divisors, whose sum is σ = 507386880. Its totient is φ = 28771200.

The previous prime is 126440947. The next prime is 126441013. The reversal of 126441000 is 144621.

126441000 is a `hidden beast` number, since 12 + 644 + 10 + 0 + 0 = 666.

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

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, 566889 + ... + 567111.

It is an arithmetic number, because the mean of its divisors is an integer number (1585584).

Almost surely, 2^126441000 is an apocalyptic number.

126441000 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 126441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253693440).

126441000 is an abundant number, since it is smaller than the sum of its proper divisors (380945880).

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

126441000 is a wasteful number, since it uses less digits than its factorization.

126441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 126441000 is about 11244.5987033775. The cubic root of 126441000 is about 501.9139972137.

Adding to 126441000 its reverse (144621), we get a palindrome (126585621).

The spelling of 126441000 in words is "one hundred twenty-six million, four hundred forty-one thousand".