125580 has 96 divisors (see below), whose sum is σ = 451584. Its totient is φ = 25344.

The previous prime is 125551. The next prime is 125591. The reversal of 125580 is 85521.

125580 = T₁ + T₂ + ... + T₉₀.

125580 is a nontrivial binomial coefficient, being equal to C(92, 3).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is the 90-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5449 + ... + 5471.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2¹²⁵⁵⁸⁰ is an apocalyptic number.

125580 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 125580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792).

125580 is an abundant number, since it is smaller than the sum of its proper divisors (326004).

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

125580 is a wasteful number, since it uses less digits than its factorization.

125580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 125580 is about 354.3726851776. The cubic root of 125580 is about 50.0772140318.

The spelling of 125580 in words is "one hundred twenty-five thousand, five hundred eighty".