123138752 has 56 divisors (see below), whose sum is σ = 282275280. Its totient is φ = 52674560.

The previous prime is 123138749. The next prime is 123138761. The reversal of 123138752 is 257831321.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6824 + ... + 17112.

It is an arithmetic number, because the mean of its divisors is an integer number (5040630).

Almost surely, 2^123138752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141137640).

123138752 is an abundant number, since it is smaller than the sum of its proper divisors (159136528).

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

123138752 is a wasteful number, since it uses less digits than its factorization.

123138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329 (or 10319 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 123138752 is about 11096.7901665301. The cubic root of 123138752 is about 497.5059157735.

The spelling of 123138752 in words is "one hundred twenty-three million, one hundred thirty-eight thousand, seven hundred fifty-two".