123875040 has 96 divisors (see below), whose sum is σ = 391771296. Its totient is φ = 32901120.

The previous prime is 123875029. The next prime is 123875069. The reversal of 123875040 is 40578321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123874989 and 123875007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201774 + ... + 202386.

It is an arithmetic number, because the mean of its divisors is an integer number (4080951).

Almost surely, 2^123875040 is an apocalyptic number.

123875040 is a gapful number since it is divisible by the number (10) 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 123875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195885648).

123875040 is an abundant number, since it is smaller than the sum of its proper divisors (267896256).

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

123875040 is a wasteful number, since it uses less digits than its factorization.

123875040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 123875040 is about 11129.9164417349. The cubic root of 123875040 is about 498.4955310198.

The spelling of 123875040 in words is "one hundred twenty-three million, eight hundred seventy-five thousand, forty".