126378000 has 480 divisors, whose sum is σ = 543179520. Its totient is φ = 26726400.

The previous prime is 126377981. The next prime is 126378011. The reversal of 126378000 is 873621.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2141971 + ... + 2142029.

It is an arithmetic number, because the mean of its divisors is an integer number (1131624).

Almost surely, 2^126378000 is an apocalyptic number.

126378000 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 126378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271589760).

126378000 is an abundant number, since it is smaller than the sum of its proper divisors (416801520).

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

126378000 is a wasteful number, since it uses less digits than its factorization.

126378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126378000 is about 11241.7970093753. The cubic root of 126378000 is about 501.8306227940.

The spelling of 126378000 in words is "one hundred twenty-six million, three hundred seventy-eight thousand".