126364000 has 96 divisors (see below), whose sum is σ = 354908736. Its totient is φ = 43315200.

The previous prime is 126363983. The next prime is 126364019. The reversal of 126364000 is 463621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25744 + ... + 30256.

It is an arithmetic number, because the mean of its divisors is an integer number (3696966).

Almost surely, 2^126364000 is an apocalyptic number.

126364000 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 126364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177454368).

126364000 is an abundant number, since it is smaller than the sum of its proper divisors (228544736).

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

126364000 is an equidigital number, since it uses as much as digits as its factorization.

126364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 126364000 is about 11241.1743158800. The cubic root of 126364000 is about 501.8120913825.

The spelling of 126364000 in words is "one hundred twenty-six million, three hundred sixty-four thousand".