138565180 has 48 divisors (see below), whose sum is σ = 317195424. Its totient is φ = 50538240.

The previous prime is 138565151. The next prime is 138565183. The reversal of 138565180 is 81565831.

138565180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138565183) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18370 + ... + 24790.

It is an arithmetic number, because the mean of its divisors is an integer number (6608238).

Almost surely, 2^138565180 is an apocalyptic number.

138565180 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 138565180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158597712).

138565180 is an abundant number, since it is smaller than the sum of its proper divisors (178630244).

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

138565180 is a wasteful number, since it uses less digits than its factorization.

138565180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 138565180 is about 11771.3712030502. The cubic root of 138565180 is about 517.4694358325.

The spelling of 138565180 in words is "one hundred thirty-eight million, five hundred sixty-five thousand, one hundred eighty".