125320 has 32 divisors (see below), whose sum is σ = 304920. Its totient is φ = 46080.

The previous prime is 125311. The next prime is 125329. The reversal of 125320 is 23521.

It is an interprime number because it is at equal distance from previous prime (125311) and next prime (125329).

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 31684 = 306^2 + 178^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 125320.

It is not an unprimeable number, because it can be changed into a prime (125329) 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, 400 + ... + 640.

2¹²⁵³²⁰ is an apocalyptic number.

125320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152460).

125320 is an abundant number, since it is smaller than the sum of its proper divisors (179600).

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

125320 is a wasteful number, since it uses less digits than its factorization.

125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 125320 is about 354.0056496724. The cubic root of 125320 is about 50.0426303095.

Adding to 125320 its reverse (23521), we get a palindrome (148841).

It can be divided in two parts, 125 and 320, that multiplied together give a square (40000 = 200²).

The spelling of 125320 in words is "one hundred twenty-five thousand, three hundred twenty".