125820 has 48 divisors (see below), whose sum is σ = 393120. Its totient is φ = 33408.

The previous prime is 125813. The next prime is 125821. The reversal of 125820 is 28521.

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 a junction number, because it is equal to n+sod(n) for n = 125793 and 125802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125821) by changing a digit.

125820 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, 424 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2¹²⁵⁸²⁰ is an apocalyptic number.

125820 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 125820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

125820 is an abundant number, since it is smaller than the sum of its proper divisors (267300).

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

125820 is a wasteful number, since it uses less digits than its factorization.

125820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

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

The square root of 125820 is about 354.7111500926. The cubic root of 125820 is about 50.1090951253.

It can be divided in two parts, 12 and 5820, that added together give a cube (5832 = 18³).

The spelling of 125820 in words is "one hundred twenty-five thousand, eight hundred twenty".