138922880 has 64 divisors (see below), whose sum is σ = 334849680. Its totient is φ = 55111680.

The previous prime is 138922877. The next prime is 138922907. The reversal of 138922880 is 88229831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83012 + ... + 84668.

Almost surely, 2^138922880 is an apocalyptic number.

138922880 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 138922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167424840).

138922880 is an abundant number, since it is smaller than the sum of its proper divisors (195926800).

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

138922880 is a wasteful number, since it uses less digits than its factorization.

138922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 138922880 is about 11786.5550522619. Note that the first 3 decimals coincide. The cubic root of 138922880 is about 517.9143281938.

The spelling of 138922880 in words is "one hundred thirty-eight million, nine hundred twenty-two thousand, eight hundred eighty".