368138144 has 72 divisors (see below), whose sum is σ = 822616704. Its totient is φ = 161884800.

The previous prime is 368138137. The next prime is 368138149. The reversal of 368138144 is 441831863.

It is a junction number, because it is equal to n+sod(n) for n = 368138098 and 368138107.

It is not an unprimeable number, because it can be changed into a prime (368138149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118499 + ... + 121565.

It is an arithmetic number, because the mean of its divisors is an integer number (11425232).

Almost surely, 2^368138144 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 368138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411308352).

368138144 is an abundant number, since it is smaller than the sum of its proper divisors (454478560).

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

368138144 is a wasteful number, since it uses less digits than its factorization.

368138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3111 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 368138144 is about 19186.9263823052. The cubic root of 368138144 is about 716.6992326527.

The spelling of 368138144 in words is "three hundred sixty-eight million, one hundred thirty-eight thousand, one hundred forty-four".