138357648 has 120 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 38695680.

The previous prime is 138357643. The next prime is 138357649. The reversal of 138357648 is 846753831.

138357648 is a `hidden beast` number, since 1 + 38 + 3 + 576 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (138357641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17233 + ... + 23951.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2^138357648 is an apocalyptic number.

138357648 is a gapful number since it is divisible by the number (18) 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 138357648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

138357648 is an abundant number, since it is smaller than the sum of its proper divisors (316613232).

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

138357648 is a wasteful number, since it uses less digits than its factorization.

138357648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6748 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 138357648 is about 11762.5527841536. The cubic root of 138357648 is about 517.2109651119.

The spelling of 138357648 in words is "one hundred thirty-eight million, three hundred fifty-seven thousand, six hundred forty-eight".