138588565248 has 288 divisors, whose sum is σ = 495932613120. Its totient is φ = 37267292160.

The previous prime is 138588565223. The next prime is 138588565319. The reversal of 138588565248 is 842565885831.

It is a happy number.

138588565248 is a `hidden beast` number, since 1 + 3 + 8 + 58 + 8 + 56 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738283 + ... + 906773.

It is an arithmetic number, because the mean of its divisors is an integer number (1721988240).

Almost surely, 2^138588565248 is an apocalyptic number.

138588565248 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 138588565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247966306560).

138588565248 is an abundant number, since it is smaller than the sum of its proper divisors (357344047872).

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

138588565248 is a wasteful number, since it uses less digits than its factorization.

138588565248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168540 (or 168520 counting only the distinct ones).

The product of its digits is 73728000, while the sum is 63.

The spelling of 138588565248 in words is "one hundred thirty-eight billion, five hundred eighty-eight million, five hundred sixty-five thousand, two hundred forty-eight".