138446880 has 192 divisors, whose sum is σ = 512604288. Its totient is φ = 30965760.

The previous prime is 138446851. The next prime is 138446921. The reversal of 138446880 is 88644831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67632 + ... + 69648.

It is an arithmetic number, because the mean of its divisors is an integer number (2669814).

Almost surely, 2^138446880 is an apocalyptic number.

138446880 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 138446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256302144).

138446880 is an abundant number, since it is smaller than the sum of its proper divisors (374157408).

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

138446880 is a wasteful number, since it uses less digits than its factorization.

138446880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 138446880 is about 11766.3452269598. The cubic root of 138446880 is about 517.3221307549.

The spelling of 138446880 in words is "one hundred thirty-eight million, four hundred forty-six thousand, eight hundred eighty".