138580288 has 112 divisors (see below), whose sum is σ = 349227648. Its totient is φ = 52992000.

The previous prime is 138580279. The next prime is 138580291. The reversal of 138580288 is 882085831.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 300378 + ... + 300838.

It is an arithmetic number, because the mean of its divisors is an integer number (3118104).

Almost surely, 2^138580288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138580288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174613824).

138580288 is an abundant number, since it is smaller than the sum of its proper divisors (210647360).

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

138580288 is a wasteful number, since it uses less digits than its factorization.

138580288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The square root of 138580288 is about 11772.0129119875. The cubic root of 138580288 is about 517.4882420100.

The spelling of 138580288 in words is "one hundred thirty-eight million, five hundred eighty thousand, two hundred eighty-eight".