125748 has 36 divisors (see below), whose sum is σ = 364000. Its totient is φ = 35856.

The previous prime is 125743. The next prime is 125753. The reversal of 125748 is 847521.

It is an interprime number because it is at equal distance from previous prime (125743) and next prime (125753).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125743) by changing a digit.

125748 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 11 ways as a sum of consecutive naturals, for example, 3 + ... + 501.

2¹²⁵⁷⁴⁸ is an apocalyptic number.

125748 is a gapful number since it is divisible by the number (18) 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 125748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182000).

125748 is an abundant number, since it is smaller than the sum of its proper divisors (238252).

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

125748 is a wasteful number, since it uses less digits than its factorization.

125748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 511 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 125748 is about 354.6096445389. The cubic root of 125748 is about 50.0995350573.

The spelling of 125748 in words is "one hundred twenty-five thousand, seven hundred forty-eight".