138220368 has 120 divisors (see below), whose sum is σ = 422071200. Its totient is φ = 38638080.

The previous prime is 138220367. The next prime is 138220483. The reversal of 138220368 is 863022831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138220367) 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 23 ways as a sum of consecutive naturals, for example, 88458 + ... + 90006.

It is an arithmetic number, because the mean of its divisors is an integer number (3517260).

Almost surely, 2^138220368 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 138220368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211035600).

138220368 is an abundant number, since it is smaller than the sum of its proper divisors (283850832).

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

138220368 is a wasteful number, since it uses less digits than its factorization.

138220368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 138220368 is about 11756.7158679624. The cubic root of 138220368 is about 517.0398476770.

The spelling of 138220368 in words is "one hundred thirty-eight million, two hundred twenty thousand, three hundred sixty-eight".