126450 has 36 divisors (see below), whose sum is σ = 340938. Its totient is φ = 33600.

The previous prime is 126443. The next prime is 126457. The reversal of 126450 is 54621.

It is a happy number.

126450 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (126443) and next prime (126457).

It can be written as a sum of positive squares in 3 ways, for example, as 103041 + 23409 = 321^2 + 153^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (126457) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 310 + ... + 590.

2¹²⁶⁴⁵⁰ is an apocalyptic number.

126450 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 126450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170469).

126450 is an abundant number, since it is smaller than the sum of its proper divisors (214488).

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

126450 is a wasteful number, since it uses less digits than its factorization.

126450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 126450 is about 355.5980877339. The cubic root of 126450 is about 50.1925905584.

It can be divided in two parts, 126 and 450, that added together give a square (576 = 24²).

The spelling of 126450 in words is "one hundred twenty-six thousand, four hundred fifty".