138242016 has 108 divisors (see below), whose sum is σ = 432222336. Its totient is φ = 41880960.

The previous prime is 138242003. The next prime is 138242057. The reversal of 138242016 is 610242831.

138242016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138242016² = 38221709975488512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32865 + ... + 36831.

Almost surely, 2^138242016 is an apocalyptic number.

138242016 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 138242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

138242016 is an abundant number, since it is smaller than the sum of its proper divisors (293980320).

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

138242016 is a wasteful number, since it uses less digits than its factorization.

138242016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3983 counting only the distinct ones).

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

The square root of 138242016 is about 11757.6364971877. The cubic root of 138242016 is about 517.0668391026.

Adding to 138242016 its reverse (610242831), we get a palindrome (748484847).

The spelling of 138242016 in words is "one hundred thirty-eight million, two hundred forty-two thousand, sixteen".