123670144 has 48 divisors (see below), whose sum is σ = 266830470. Its totient is φ = 57068544.

The previous prime is 123670133. The next prime is 123670159. The reversal of 123670144 is 441076321.

It can be written as a sum of positive squares in 3 ways, for example, as 67240000 + 56430144 = 8200^2 + 7512^2 .

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 5 ways as a sum of consecutive naturals, for example, 18774 + ... + 24490.

Almost surely, 2^123670144 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 123670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133415235).

123670144 is an abundant number, since it is smaller than the sum of its proper divisors (143160326).

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

123670144 is an equidigital number, since it uses as much as digits as its factorization.

123670144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 123670144 is about 11120.7078911371. The cubic root of 123670144 is about 498.2205331752.

The spelling of 123670144 in words is "one hundred twenty-three million, six hundred seventy thousand, one hundred forty-four".