138428368 has 80 divisors (see below), whose sum is σ = 305136720. Its totient is φ = 60383232.

The previous prime is 138428347. The next prime is 138428369. The reversal of 138428368 is 863824831.

It can be written as a sum of positive squares in 8 ways, for example, as 11370384 + 127057984 = 3372^2 + 11272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138428369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319480 + ... + 319912.

It is an arithmetic number, because the mean of its divisors is an integer number (3814209).

Almost surely, 2^138428368 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 138428368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152568360).

138428368 is an abundant number, since it is smaller than the sum of its proper divisors (166708352).

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

138428368 is a wasteful number, since it uses less digits than its factorization.

138428368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 138428368 is about 11765.5585502772. The cubic root of 138428368 is about 517.2990723464.

The spelling of 138428368 in words is "one hundred thirty-eight million, four hundred twenty-eight thousand, three hundred sixty-eight".