138583200 has 288 divisors, whose sum is σ = 527216256. Its totient is φ = 30965760.

The previous prime is 138583189. The next prime is 138583217. The reversal of 138583200 is 2385831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226344 + ... + 1226456.

It is an arithmetic number, because the mean of its divisors is an integer number (1830612).

Almost surely, 2^138583200 is an apocalyptic number.

138583200 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 138583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263608128).

138583200 is an abundant number, since it is smaller than the sum of its proper divisors (388633056).

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

138583200 is a wasteful number, since it uses less digits than its factorization.

138583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 138583200 is about 11772.1365945184. The cubic root of 138583200 is about 517.4918666602.

The spelling of 138583200 in words is "one hundred thirty-eight million, five hundred eighty-three thousand, two hundred".