126750 has 48 divisors (see below), whose sum is σ = 342576. Its totient is φ = 31200.

The previous prime is 126743. The next prime is 126751. The reversal of 126750 is 57621.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126751) by changing a digit.

126750 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, 9744 + ... + 9756.

It is an arithmetic number, because the mean of its divisors is an integer number (7137).

2¹²⁶⁷⁵⁰ is an apocalyptic number.

126750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171288).

126750 is an abundant number, since it is smaller than the sum of its proper divisors (215826).

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

126750 is a wasteful number, since it uses less digits than its factorization.

126750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 126750 is about 356.0196623784. The cubic root of 126750 is about 50.2322528353.

The spelling of 126750 in words is "one hundred twenty-six thousand, seven hundred fifty".