138420200 has 48 divisors (see below), whose sum is σ = 323199180. Its totient is φ = 55132160.

The previous prime is 138420193. The next prime is 138420203. The reversal of 138420200 is 2024831.

It can be written as a sum of positive squares in 6 ways, for example, as 88774084 + 49646116 = 9422^2 + 7046^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (138420203) 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 11 ways as a sum of consecutive naturals, for example, 50054 + ... + 52746.

Almost surely, 2^138420200 is an apocalyptic number.

138420200 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 138420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161599590).

138420200 is an abundant number, since it is smaller than the sum of its proper divisors (184778980).

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

138420200 is a wasteful number, since it uses less digits than its factorization.

138420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 138420200 is about 11765.2114303144. The cubic root of 138420200 is about 517.2888976932.

The spelling of 138420200 in words is "one hundred thirty-eight million, four hundred twenty thousand, two hundred".