138756648 has 64 divisors (see below), whose sum is σ = 363902400. Its totient is φ = 44029440.

The previous prime is 138756599. The next prime is 138756659. The reversal of 138756648 is 846657831.

It is a junction number, because it is equal to n+sod(n) for n = 138756597 and 138756606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49443 + ... + 52173.

It is an arithmetic number, because the mean of its divisors is an integer number (5685975).

Almost surely, 2^138756648 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 138756648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181951200).

138756648 is an abundant number, since it is smaller than the sum of its proper divisors (225145752).

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

138756648 is a wasteful number, since it uses less digits than its factorization.

138756648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2838 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 138756648 is about 11779.5011778937. The cubic root of 138756648 is about 517.7076708579.

The spelling of 138756648 in words is "one hundred thirty-eight million, seven hundred fifty-six thousand, six hundred forty-eight".