138598128 has 100 divisors (see below), whose sum is σ = 403757640. Its totient is φ = 45899136.

The previous prime is 138598111. The next prime is 138598133. The reversal of 138598128 is 821895831.

It is a happy number.

138598128 is a `hidden beast` number, since 1 + 38 + 598 + 1 + 28 = 666.

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, 296551 + ... + 297017.

Almost surely, 2^138598128 is an apocalyptic number.

138598128 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 138598128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201878820).

138598128 is an abundant number, since it is smaller than the sum of its proper divisors (265159512).

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

138598128 is a wasteful number, since it uses less digits than its factorization.

138598128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 138598128 is about 11772.7706169788. The cubic root of 138598128 is about 517.5104471741.

The spelling of 138598128 in words is "one hundred thirty-eight million, five hundred ninety-eight thousand, one hundred twenty-eight".