138567220 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 47255040.

The previous prime is 138567211. The next prime is 138567227. The reversal of 138567220 is 22765831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138567227) 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 31 ways as a sum of consecutive naturals, for example, 235767 + ... + 236353.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^138567220 is an apocalyptic number.

138567220 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 138567220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

138567220 is an abundant number, since it is smaller than the sum of its proper divisors (199274060).

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

138567220 is a wasteful number, since it uses less digits than its factorization.

138567220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 138567220 is about 11771.4578536390. The cubic root of 138567220 is about 517.4719752691.

The spelling of 138567220 in words is "one hundred thirty-eight million, five hundred sixty-seven thousand, two hundred twenty".