138686600 has 96 divisors (see below), whose sum is σ = 355992840. Its totient is φ = 49920000.

The previous prime is 138686593. The next prime is 138686651. The reversal of 138686600 is 6686831.

It can be written as a sum of positive squares in 12 ways, for example, as 44169316 + 94517284 = 6646^2 + 9722^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105950 + ... + 107250.

Almost surely, 2^138686600 is an apocalyptic number.

138686600 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 138686600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177996420).

138686600 is an abundant number, since it is smaller than the sum of its proper divisors (217306240).

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

138686600 is a wasteful number, since it uses less digits than its factorization.

138686600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 138686600 is about 11776.5275017723. The cubic root of 138686600 is about 517.6205387179.

The spelling of 138686600 in words is "one hundred thirty-eight million, six hundred eighty-six thousand, six hundred".