138028320 has 192 divisors, whose sum is σ = 489888000. Its totient is φ = 36292608.

The previous prime is 138028291. The next prime is 138028351. The reversal of 138028320 is 23820831.

138028320 is a `hidden beast` number, since 1 + 380 + 283 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384301 + ... + 384659.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^138028320 is an apocalyptic number.

138028320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

138028320 is an abundant number, since it is smaller than the sum of its proper divisors (351859680).

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

138028320 is a wasteful number, since it uses less digits than its factorization.

138028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138028320 is about 11748.5454418834. The cubic root of 138028320 is about 516.8002725351.

It can be divided in two parts, 13802 and 8320, that added together give a palindrome (22122).

The spelling of 138028320 in words is "one hundred thirty-eight million, twenty-eight thousand, three hundred twenty".