125658 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 38448.

The previous prime is 125651. The next prime is 125659. The reversal of 125658 is 856521.

125658 is a `hidden beast` number, since 1 + 2 + 5 + 658 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (125651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 613 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹²⁵⁶⁵⁸ is an apocalyptic number.

125658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

125658 is an abundant number, since it is smaller than the sum of its proper divisors (176742).

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

125658 is a wasteful number, since it uses less digits than its factorization.

125658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125658 is about 354.4827217228. The cubic root of 125658 is about 50.0875798392.

It can be divided in two parts, 12 and 5658, that multiplied together give a triangular number (67896 = T₃₆₈).

The spelling of 125658 in words is "one hundred twenty-five thousand, six hundred fifty-eight".