138490080 has 96 divisors (see below), whose sum is σ = 451332000. Its totient is φ = 35653632.

The previous prime is 138490073. The next prime is 138490097. The reversal of 138490080 is 80094831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8946 + ... + 18894.

It is an arithmetic number, because the mean of its divisors is an integer number (4701375).

Almost surely, 2^138490080 is an apocalyptic number.

138490080 is a gapful number since it is divisible by the number (10) 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 138490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225666000).

138490080 is an abundant number, since it is smaller than the sum of its proper divisors (312841920).

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

138490080 is a wasteful number, since it uses less digits than its factorization.

138490080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 138490080 is about 11768.1808279785. The cubic root of 138490080 is about 517.3759323573.

The spelling of 138490080 in words is "one hundred thirty-eight million, four hundred ninety thousand, eighty".