138203136 has 156 divisors (see below), whose sum is σ = 419117088. Its totient is φ = 43794432.

The previous prime is 138203083. The next prime is 138203141. The reversal of 138203136 is 631302831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847791 + ... + 847953.

It is an arithmetic number, because the mean of its divisors is an integer number (2686648).

Almost surely, 2^138203136 is an apocalyptic number.

138203136 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 138203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209558544).

138203136 is an abundant number, since it is smaller than the sum of its proper divisors (280913952).

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

138203136 is a wasteful number, since it uses less digits than its factorization.

138203136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 138203136 is about 11755.9829873984. The cubic root of 138203136 is about 517.0183602482.

Adding to 138203136 its reverse (631302831), we get a palindrome (769505967).

The spelling of 138203136 in words is "one hundred thirty-eight million, two hundred three thousand, one hundred thirty-six".