138915648 has 140 divisors (see below), whose sum is σ = 416998912. Its totient is φ = 45722880.

The previous prime is 138915617. The next prime is 138915697. The reversal of 138915648 is 846519831.

138915648 is a `hidden beast` number, since 1 + 3 + 89 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×138915648³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 658263 + ... + 658473.

Almost surely, 2^138915648 is an apocalyptic number.

138915648 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 138915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208499456).

138915648 is an abundant number, since it is smaller than the sum of its proper divisors (278083264).

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

138915648 is a wasteful number, since it uses less digits than its factorization.

138915648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

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

The square root of 138915648 is about 11786.2482580336. The cubic root of 138915648 is about 517.9053409019.

The spelling of 138915648 in words is "one hundred thirty-eight million, nine hundred fifteen thousand, six hundred forty-eight".