125352 has 24 divisors (see below), whose sum is σ = 339690. Its totient is φ = 41760.

The previous prime is 125339. The next prime is 125353. The reversal of 125352 is 253521.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 36 = 354^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 2⁴ + 3¹⁰ + 5³ + 5⁴ + 2¹⁶ .

It is not an unprimeable number, because it can be changed into a prime (125353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 799 + ... + 942.

2¹²⁵³⁵² is an apocalyptic number.

125352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125352 is an abundant number, since it is smaller than the sum of its proper divisors (214338).

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

125352 is a wasteful number, since it uses less digits than its factorization.

125352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1746 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 125352 is about 354.0508438064. The cubic root of 125352 is about 50.0468893474.

Adding to 125352 its reverse (253521), we get a palindrome (378873).

It can be divided in two parts, 1253 and 52, that multiplied together give a palindrome (65156).

The spelling of 125352 in words is "one hundred twenty-five thousand, three hundred fifty-two".