126150 has 36 divisors (see below), whose sum is σ = 324012. Its totient is φ = 32480.

The previous prime is 126143. The next prime is 126151. The reversal of 126150 is 51621.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126151) 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, 4336 + ... + 4364.

2¹²⁶¹⁵⁰ is an apocalyptic number.

126150 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 126150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162006).

126150 is an abundant number, since it is smaller than the sum of its proper divisors (197862).

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

126150 is a wasteful number, since it uses less digits than its factorization.

126150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 126150 is about 355.1760127036. The cubic root of 126150 is about 50.1528654998.

Adding to 126150 its reverse (51621), we get a palindrome (177771).

Subtracting from 126150 its reverse (51621), we obtain a square (74529 = 273²).

It can be divided in two parts, 126 and 150, that added together give a triangular number (276 = T₂₃).

The spelling of 126150 in words is "one hundred twenty-six thousand, one hundred fifty".