138355224 has 72 divisors (see below), whose sum is σ = 403536060. Its totient is φ = 39530064.

The previous prime is 138355211. The next prime is 138355229. The reversal of 138355224 is 422553831.

Its product of digits (28800) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138355229) 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 17 ways as a sum of consecutive naturals, for example, 19765029 + ... + 19765035.

Almost surely, 2^138355224 is an apocalyptic number.

138355224 is a gapful number since it is divisible by the number (14) 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 138355224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201768030).

138355224 is an abundant number, since it is smaller than the sum of its proper divisors (265180836).

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

138355224 is an frugal number, since it uses more digits than its factorization.

138355224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 12 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 138355224 is about 11762.4497448448. The cubic root of 138355224 is about 517.2079446146.

The spelling of 138355224 in words is "one hundred thirty-eight million, three hundred fifty-five thousand, two hundred twenty-four".