138980880 has 240 divisors, whose sum is σ = 502467840. Its totient is φ = 35292672.

The previous prime is 138980879. The next prime is 138980911. The reversal of 138980880 is 88089831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2957017 + ... + 2957063.

It is an arithmetic number, because the mean of its divisors is an integer number (2093616).

Almost surely, 2^138980880 is an apocalyptic number.

138980880 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 138980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251233920).

138980880 is an abundant number, since it is smaller than the sum of its proper divisors (363486960).

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

138980880 is a wasteful number, since it uses less digits than its factorization.

138980880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 138980880 is about 11789.0152260484. The cubic root of 138980880 is about 517.9863942005.

The spelling of 138980880 in words is "one hundred thirty-eight million, nine hundred eighty thousand, eight hundred eighty".