123615126 has 72 divisors (see below), whose sum is σ = 295125240. Its totient is φ = 38345472.

The previous prime is 123615119. The next prime is 123615127. The reversal of 123615126 is 621516321.

123615126 is a `hidden beast` number, since 1 + 23 + 615 + 1 + 26 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123615126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123615127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1388890 + ... + 1388978.

Almost surely, 2^123615126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123615126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147562620).

123615126 is an abundant number, since it is smaller than the sum of its proper divisors (171510114).

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

123615126 is an equidigital number, since it uses as much as digits as its factorization.

123615126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 111 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 123615126 is about 11118.2339424928. The cubic root of 123615126 is about 498.1466399345.

The spelling of 123615126 in words is "one hundred twenty-three million, six hundred fifteen thousand, one hundred twenty-six".