138098688 has 288 divisors, whose sum is σ = 479606400. Its totient is φ = 34504704.

The previous prime is 138098687. The next prime is 138098717. The reversal of 138098688 is 886890831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 138098688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138098683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7268343 + ... + 7268361.

It is an arithmetic number, because the mean of its divisors is an integer number (1665300).

Almost surely, 2^138098688 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 138098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239803200).

138098688 is an abundant number, since it is smaller than the sum of its proper divisors (341507712).

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

138098688 is a wasteful number, since it uses less digits than its factorization.

138098688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 138098688 is about 11751.5398139988. The cubic root of 138098688 is about 516.8880806589. Note that the first 3 decimals are identical.

The spelling of 138098688 in words is "one hundred thirty-eight million, ninety-eight thousand, six hundred eighty-eight".