138186450 has 72 divisors (see below), whose sum is σ = 384099300. Its totient is φ = 35575680.

The previous prime is 138186431. The next prime is 138186463. The reversal of 138186450 is 54681831.

138186450 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 8 + 645 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26101881 + 112084569 = 5109^2 + 10587^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7756 + ... + 18344.

Almost surely, 2^138186450 is an apocalyptic number.

138186450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138186450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192049650).

138186450 is an abundant number, since it is smaller than the sum of its proper divisors (245912850).

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

138186450 is a wasteful number, since it uses less digits than its factorization.

138186450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138186450 is about 11755.2732847859. The cubic root of 138186450 is about 516.9975519515.

The spelling of 138186450 in words is "one hundred thirty-eight million, one hundred eighty-six thousand, four hundred fifty".