138552080 has 40 divisors (see below), whose sum is σ = 325109400. Its totient is φ = 54908928.

The previous prime is 138552077. The next prime is 138552097. The reversal of 138552080 is 80255831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10137856 + 128414224 = 3184^2 + 11332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776 + ... + 16664.

It is an arithmetic number, because the mean of its divisors is an integer number (8127735).

Almost surely, 2^138552080 is an apocalyptic number.

138552080 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 138552080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162554700).

138552080 is an abundant number, since it is smaller than the sum of its proper divisors (186557320).

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

138552080 is a wasteful number, since it uses less digits than its factorization.

138552080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16011 (or 16005 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 138552080 is about 11770.8147551476. The cubic root of 138552080 is about 517.4531280721.

The spelling of 138552080 in words is "one hundred thirty-eight million, five hundred fifty-two thousand, eighty".