138447360 has 160 divisors (see below), whose sum is σ = 492022080. Its totient is φ = 36900864.

The previous prime is 138447359. The next prime is 138447367. The reversal of 138447360 is 63744831.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138447367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68119 + ... + 70121.

It is an arithmetic number, because the mean of its divisors is an integer number (3075138).

Almost surely, 2^138447360 is an apocalyptic number.

138447360 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 138447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246011040).

138447360 is an abundant number, since it is smaller than the sum of its proper divisors (353574720).

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

138447360 is an equidigital number, since it uses as much as digits as its factorization.

138447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 138447360 is about 11766.3656240999. The cubic root of 138447360 is about 517.3227286120.

The spelling of 138447360 in words is "one hundred thirty-eight million, four hundred forty-seven thousand, three hundred sixty".