123750 has 60 divisors (see below), whose sum is σ = 365508. Its totient is φ = 30000.

The previous prime is 123737. The next prime is 123757. The reversal of 123750 is 57321.

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

It is a Curzon number.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123757) by changing a digit.

123750 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 29 ways as a sum of consecutive naturals, for example, 11245 + ... + 11255.

2¹²³⁷⁵⁰ is an apocalyptic number.

123750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182754).

123750 is an abundant number, since it is smaller than the sum of its proper divisors (241758).

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

123750 is a wasteful number, since it uses less digits than its factorization.

123750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 123750 is about 351.7811819868. The cubic root of 123750 is about 49.8327746706.

The spelling of 123750 in words is "one hundred twenty-three thousand, seven hundred fifty".