138159648 has 96 divisors (see below), whose sum is σ = 439629120. Its totient is φ = 41863680.

The previous prime is 138159647. The next prime is 138159661. The reversal of 138159648 is 846951831.

138159648 is a `hidden beast` number, since 13 + 8 + 1 + 596 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (138159641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236 + ... + 16772.

It is an arithmetic number, because the mean of its divisors is an integer number (4579470).

Almost surely, 2^138159648 is an apocalyptic number.

138159648 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 138159648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219814560).

138159648 is an abundant number, since it is smaller than the sum of its proper divisors (301469472).

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

138159648 is a wasteful number, since it uses less digits than its factorization.

138159648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14567 (or 14553 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 138159648 is about 11754.1332304854. The cubic root of 138159648 is about 516.9641249782.

The spelling of 138159648 in words is "one hundred thirty-eight million, one hundred fifty-nine thousand, six hundred forty-eight".