138565648 has 80 divisors (see below), whose sum is σ = 300078016. Its totient is φ = 61585920.

The previous prime is 138565633. The next prime is 138565667. The reversal of 138565648 is 846565831.

It is a super-3 number, since 3×138565648³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138565598 and 138565607.

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 15 ways as a sum of consecutive naturals, for example, 850015 + ... + 850177.

Almost surely, 2^138565648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138565648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150039008).

138565648 is an abundant number, since it is smaller than the sum of its proper divisors (161512368).

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

138565648 is a wasteful number, since it uses less digits than its factorization.

138565648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The square root of 138565648 is about 11771.3910817711. The cubic root of 138565648 is about 517.4700184113.

The spelling of 138565648 in words is "one hundred thirty-eight million, five hundred sixty-five thousand, six hundred forty-eight".