138440016 has 280 divisors, whose sum is σ = 478156896. Its totient is φ = 38257920.

The previous prime is 138440009. The next prime is 138440021. The reversal of 138440016 is 610044831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1667911 + ... + 1667993.

Almost surely, 2^138440016 is an apocalyptic number.

138440016 is a gapful number since it is divisible by the number (16) 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 138440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239078448).

138440016 is an abundant number, since it is smaller than the sum of its proper divisors (339716880).

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

138440016 is a wasteful number, since it uses less digits than its factorization.

138440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

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

The square root of 138440016 is about 11766.0535439883. The cubic root of 138440016 is about 517.3135812477.

Adding to 138440016 its reverse (610044831), we get a palindrome (748484847).

The spelling of 138440016 in words is "one hundred thirty-eight million, four hundred forty thousand, sixteen".