125802 has 24 divisors (see below), whose sum is σ = 283140. Its totient is φ = 40320.

The previous prime is 125791. The next prime is 125803. The reversal of 125802 is 208521.

It can be written as a sum of positive squares in 2 ways, for example, as 123201 + 2601 = 351^2 + 51^2 .

It is a super-2 number, since 2×125802² = 31652286408, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (125803) by changing a digit.

125802 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402 + ... + 642.

2¹²⁵⁸⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141570).

125802 is an abundant number, since it is smaller than the sum of its proper divisors (157338).

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

125802 is a wasteful number, since it uses less digits than its factorization.

125802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

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

The square root of 125802 is about 354.6857764275. The cubic root of 125802 is about 50.1067054503.

The spelling of 125802 in words is "one hundred twenty-five thousand, eight hundred two".