138563200 has 192 divisors, whose sum is σ = 375645600. Its totient is φ = 50319360.

The previous prime is 138563197. The next prime is 138563207. The reversal of 138563200 is 2365831.

It is not an unprimeable number, because it can be changed into a prime (138563207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2614374 + ... + 2614426.

Almost surely, 2^138563200 is an apocalyptic number.

138563200 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 138563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187822800).

138563200 is an abundant number, since it is smaller than the sum of its proper divisors (237082400).

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

138563200 is a wasteful number, since it uses less digits than its factorization.

138563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 138563200 is about 11771.2871003982. The cubic root of 138563200 is about 517.4669710614.

The spelling of 138563200 in words is "one hundred thirty-eight million, five hundred sixty-three thousand, two hundred".