138568080 has 120 divisors (see below), whose sum is σ = 499735872. Its totient is φ = 31670016.

The previous prime is 138568051. The next prime is 138568081. The reversal of 138568080 is 80865831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×138568080² = 38402225589772800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138568081) 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, 5869 + ... + 17651.

Almost surely, 2^138568080 is an apocalyptic number.

138568080 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 138568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249867936).

138568080 is an abundant number, since it is smaller than the sum of its proper divisors (361167792).

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

138568080 is a wasteful number, since it uses less digits than its factorization.

138568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11813 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 138568080 is about 11771.4943826177. The cubic root of 138568080 is about 517.4730458084.

The spelling of 138568080 in words is "one hundred thirty-eight million, five hundred sixty-eight thousand, eighty".