138765600 has 108 divisors (see below), whose sum is σ = 489347586. Its totient is φ = 37002240.

The previous prime is 138765593. The next prime is 138765619. The reversal of 138765600 is 6567831.

138765600 is a `hidden beast` number, since 13 + 87 + 6 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 111767184 + 26998416 = 10572^2 + 5196^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2437 + ... + 16836.

Almost surely, 2^138765600 is an apocalyptic number.

138765600 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 138765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244673793).

138765600 is an abundant number, since it is smaller than the sum of its proper divisors (350581986).

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

138765600 is a wasteful number, since it uses less digits than its factorization.

138765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19299 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 138765600 is about 11779.8811538996. The cubic root of 138765600 is about 517.7188040648.

The spelling of 138765600 in words is "one hundred thirty-eight million, seven hundred sixty-five thousand, six hundred".