138136446 has 48 divisors (see below), whose sum is σ = 347178624. Its totient is φ = 38876112.

The previous prime is 138136423. The next prime is 138136451. The reversal of 138136446 is 644631831.

It is a happy number.

138136446 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 3 + 644 + 6 = 666.

It is a super-3 number, since 3×138136446³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138136446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261 + ... + 16623.

It is an arithmetic number, because the mean of its divisors is an integer number (7232888).

Almost surely, 2^138136446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138136446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173589312).

138136446 is an abundant number, since it is smaller than the sum of its proper divisors (209042178).

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

138136446 is a wasteful number, since it uses less digits than its factorization.

138136446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16445 (or 16442 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 138136446 is about 11753.1462170774. The cubic root of 138136446 is about 516.9351843690.

The spelling of 138136446 in words is "one hundred thirty-eight million, one hundred thirty-six thousand, four hundred forty-six".