138793392 has 80 divisors (see below), whose sum is σ = 402459360. Its totient is φ = 45792000.

The previous prime is 138793373. The next prime is 138793393. The reversal of 138793392 is 293397831.

It is not an unprimeable number, because it can be changed into a prime (138793393) 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 15 ways as a sum of consecutive naturals, for example, 42042 + ... + 45222.

It is an arithmetic number, because the mean of its divisors is an integer number (5030742).

Almost surely, 2^138793392 is an apocalyptic number.

138793392 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 138793392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201229680).

138793392 is an abundant number, since it is smaller than the sum of its proper divisors (263665968).

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

138793392 is a wasteful number, since it uses less digits than its factorization.

138793392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3287 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 138793392 is about 11781.0607332277. The cubic root of 138793392 is about 517.7533646969.

It can be divided in two parts, 13879 and 3392, that added together give a palindrome (17271).

The spelling of 138793392 in words is "one hundred thirty-eight million, seven hundred ninety-three thousand, three hundred ninety-two".