126000 has 120 divisors (see below), whose sum is σ = 502944. Its totient is φ = 28800.

The previous prime is 125963. The next prime is 126001. The reversal of 126000 is 621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (126001) by changing a digit.

126000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17997 + ... + 18003.

126000 is a Friedman number, since it can be written as 21000*6, using all its digits and the basic arithmetic operations.

2¹²⁶⁰⁰⁰ is an apocalyptic number.

126000 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 126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251472).

126000 is an abundant number, since it is smaller than the sum of its proper divisors (376944).

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

126000 is a wasteful number, since it uses less digits than its factorization.

126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 126000 is about 354.9647869860. The cubic root of 126000 is about 50.1329793496.

Adding to 126000 its reverse (621), we get a palindrome (126621).

The spelling of 126000 in words is "one hundred twenty-six thousand".