138501200 has 60 divisors (see below), whose sum is σ = 334762428. Its totient is φ = 55065600.

The previous prime is 138501197. The next prime is 138501229. The reversal of 138501200 is 2105831.

It can be written as a sum of positive squares in 6 ways, for example, as 10086976 + 128414224 = 3176^2 + 11332^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71444 + ... + 73356.

Almost surely, 2^138501200 is an apocalyptic number.

138501200 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 138501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167381214).

138501200 is an abundant number, since it is smaller than the sum of its proper divisors (196261228).

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

138501200 is a wasteful number, since it uses less digits than its factorization.

138501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 138501200 is about 11768.6532789440. The cubic root of 138501200 is about 517.3897794776.

The spelling of 138501200 in words is "one hundred thirty-eight million, five hundred one thousand, two hundred".