138036192 has 192 divisors, whose sum is σ = 450261504. Its totient is φ = 36126720.

The previous prime is 138036187. The next prime is 138036193. The reversal of 138036192 is 291630831.

138036192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138036193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491092 + ... + 491372.

It is an arithmetic number, because the mean of its divisors is an integer number (2345112).

Almost surely, 2^138036192 is an apocalyptic number.

138036192 is a gapful number since it is divisible by the number (12) 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 138036192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225130752).

138036192 is an abundant number, since it is smaller than the sum of its proper divisors (312225312).

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

138036192 is a wasteful number, since it uses less digits than its factorization.

138036192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 138036192 is about 11748.8804573032. The cubic root of 138036192 is about 516.8100970272.

The spelling of 138036192 in words is "one hundred thirty-eight million, thirty-six thousand, one hundred ninety-two".