125550 has 60 divisors (see below), whose sum is σ = 360096. Its totient is φ = 32400.

The previous prime is 125539. The next prime is 125551. The reversal of 125550 is 55521.

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

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125550.

It is not an unprimeable number, because it can be changed into a prime (125551) by changing a digit.

125550 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4035 + ... + 4065.

2¹²⁵⁵⁵⁰ is an apocalyptic number.

125550 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 125550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180048).

125550 is an abundant number, since it is smaller than the sum of its proper divisors (234546).

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

125550 is a wasteful number, since it uses less digits than its factorization.

125550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 125550 is about 354.3303543305. The cubic root of 125550 is about 50.0732260399.

The spelling of 125550 in words is "one hundred twenty-five thousand, five hundred fifty".