138392600 has 48 divisors (see below), whose sum is σ = 323625120. Its totient is φ = 55036800.

The previous prime is 138392539. The next prime is 138392609. The reversal of 138392600 is 6293831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138392609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 34289 + ... + 38111.

It is an arithmetic number, because the mean of its divisors is an integer number (6742190).

Almost surely, 2^138392600 is an apocalyptic number.

138392600 is a gapful number since it is divisible by the number (10) 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 138392600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161812560).

138392600 is an abundant number, since it is smaller than the sum of its proper divisors (185232520).

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

138392600 is a wasteful number, since it uses less digits than its factorization.

138392600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 138392600 is about 11764.0384222426. The cubic root of 138392600 is about 517.2545141696.

The spelling of 138392600 in words is "one hundred thirty-eight million, three hundred ninety-two thousand, six hundred".