138890304 has 336 divisors, whose sum is σ = 501904000. Its totient is φ = 36578304.

The previous prime is 138890299. The next prime is 138890317. The reversal of 138890304 is 403098831.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3753774 + ... + 3753810.

Almost surely, 2^138890304 is an apocalyptic number.

138890304 is a gapful number since it is divisible by the number (14) 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 138890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250952000).

138890304 is an abundant number, since it is smaller than the sum of its proper divisors (363013696).

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

138890304 is a wasteful number, since it uses less digits than its factorization.

138890304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138890304 is about 11785.1730577026. The cubic root of 138890304 is about 517.8738431514.

The spelling of 138890304 in words is "one hundred thirty-eight million, eight hundred ninety thousand, three hundred four".