125280 has 96 divisors (see below), whose sum is σ = 453600. Its totient is φ = 32256.

The previous prime is 125269. The next prime is 125287. The reversal of 125280 is 82521.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125287) by changing a digit.

125280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4306 + ... + 4334.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2¹²⁵²⁸⁰ is an apocalyptic number.

125280 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 125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

125280 is an abundant number, since it is smaller than the sum of its proper divisors (328320).

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

125280 is a wasteful number, since it uses less digits than its factorization.

125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 125280 is about 353.9491488901. The cubic root of 125280 is about 50.0373054924.

It can be divided in two parts, 1 and 25280, that added together give a square (25281 = 159²).

The spelling of 125280 in words is "one hundred twenty-five thousand, two hundred eighty".