125034 has 32 divisors (see below), whose sum is σ = 309120. Its totient is φ = 32832.

The previous prime is 125029. The next prime is 125053. The reversal of 125034 is 430521.

125034 = 92² + 93² + ... + 104².

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

125034 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, 432 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

125034 is a Friedman number, since it can be written as 50^(2+1)+34, using all its digits and the basic arithmetic operations.

2¹²⁵⁰³⁴ is an apocalyptic number.

125034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154560).

125034 is an abundant number, since it is smaller than the sum of its proper divisors (184086).

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

125034 is a wasteful number, since it uses less digits than its factorization.

125034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 125034 is about 353.6014705852. The cubic root of 125034 is about 50.0045329224.

Adding to 125034 its reverse (430521), we get a palindrome (555555).

The spelling of 125034 in words is "one hundred twenty-five thousand, thirty-four".