125552 has 40 divisors (see below), whose sum is σ = 297600. Its totient is φ = 50112.

The previous prime is 125551. The next prime is 125591. The reversal of 125552 is 255521.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2099 + ... + 2157.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2¹²⁵⁵⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800).

125552 is an abundant number, since it is smaller than the sum of its proper divisors (172048).

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

125552 is a wasteful number, since it uses less digits than its factorization.

125552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 500, while the sum is 20.

The square root of 125552 is about 354.3331765443. Note that the first 3 decimals coincide. The cubic root of 125552 is about 50.0734919258.

The spelling of 125552 in words is "one hundred twenty-five thousand, five hundred fifty-two".