138098628 has 96 divisors (see below), whose sum is σ = 370782720. Its totient is φ = 44422560.

The previous prime is 138098579. The next prime is 138098659. The reversal of 138098628 is 826890831.

138098628 is a `hidden beast` number, since 13 + 8 + 0 + 9 + 8 + 628 = 666.

138098628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 608251 + ... + 608477.

It is an arithmetic number, because the mean of its divisors is an integer number (3862320).

Almost surely, 2^138098628 is an apocalyptic number.

138098628 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 138098628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185391360).

138098628 is an abundant number, since it is smaller than the sum of its proper divisors (232684092).

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

138098628 is a wasteful number, since it uses less digits than its factorization.

138098628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 138098628 is about 11751.5372611416. The cubic root of 138098628 is about 516.8880058011. Note that the first 3 decimals are identical.

The spelling of 138098628 in words is "one hundred thirty-eight million, ninety-eight thousand, six hundred twenty-eight".