126379000 has 64 divisors (see below), whose sum is σ = 322639200. Its totient is φ = 45952000.

The previous prime is 126378991. The next prime is 126379009. The reversal of 126379000 is 973621.

It is an interprime number because it is at equal distance from previous prime (126378991) and next prime (126379009).

It is a self number, because there is not a number n which added to its sum of digits gives 126379000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126379009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5256 + ... + 16744.

Almost surely, 2^126379000 is an apocalyptic number.

126379000 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 126379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161319600).

126379000 is an abundant number, since it is smaller than the sum of its proper divisors (196260200).

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

126379000 is a wasteful number, since it uses less digits than its factorization.

126379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11521 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 126379000 is about 11241.8414861623. The cubic root of 126379000 is about 501.8319464139.

The spelling of 126379000 in words is "one hundred twenty-six million, three hundred seventy-nine thousand".