138408016 has 40 divisors (see below), whose sum is σ = 289327464. Its totient is φ = 63897600.

The previous prime is 138407993. The next prime is 138408047. The reversal of 138408016 is 610804831.

It can be written as a sum of positive squares in 4 ways, for example, as 71233600 + 67174416 = 8440^2 + 8196^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9616 + ... + 19216.

Almost surely, 2^138408016 is an apocalyptic number.

138408016 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 138408016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144663732).

138408016 is an abundant number, since it is smaller than the sum of its proper divisors (150919448).

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

138408016 is a wasteful number, since it uses less digits than its factorization.

138408016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 138408016 is about 11764.6936211701. The cubic root of 138408016 is about 517.2737196752.

The spelling of 138408016 in words is "one hundred thirty-eight million, four hundred eight thousand, sixteen".