138773000288 has 288 divisors, whose sum is σ = 329867717760. Its totient is φ = 57028608000.

The previous prime is 138773000287. The next prime is 138773000321. The reversal of 138773000288 is 882000377831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138773000287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184783913 + ... + 184784663.

It is an arithmetic number, because the mean of its divisors is an integer number (1145374020).

Almost surely, 2^138773000288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138773000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164933858880).

138773000288 is an abundant number, since it is smaller than the sum of its proper divisors (191094717472).

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

138773000288 is a wasteful number, since it uses less digits than its factorization.

138773000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 138773000288 in words is "one hundred thirty-eight billion, seven hundred seventy-three million, two hundred eighty-eight", and thus it is an aban number.