126168000 has 224 divisors, whose sum is σ = 476755968. Its totient is φ = 28800000.

The previous prime is 126167959. The next prime is 126168001. The reversal of 126168000 is 861621.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126168001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167625 + ... + 168375.

Almost surely, 2^126168000 is an apocalyptic number.

126168000 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 126168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238377984).

126168000 is an abundant number, since it is smaller than the sum of its proper divisors (350587968).

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

126168000 is an equidigital number, since it uses as much as digits as its factorization.

126168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 126168000 is about 11232.4529823187. The cubic root of 126168000 is about 501.5525077832.

The spelling of 126168000 in words is "one hundred twenty-six million, one hundred sixty-eight thousand".