138559248 has 200 divisors, whose sum is σ = 448319520. Its totient is φ = 41057280.

The previous prime is 138559219. The next prime is 138559271. The reversal of 138559248 is 842955831.

138559248 is a `hidden beast` number, since 13 + 8 + 5 + 592 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418443 + ... + 418773.

Almost surely, 2^138559248 is an apocalyptic number.

138559248 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 138559248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224159760).

138559248 is an abundant number, since it is smaller than the sum of its proper divisors (309760272).

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

138559248 is a wasteful number, since it uses less digits than its factorization.

138559248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 138559248 is about 11771.1192331061. The cubic root of 138559248 is about 517.4620514076.

The spelling of 138559248 in words is "one hundred thirty-eight million, five hundred fifty-nine thousand, two hundred forty-eight".