138347264 has 72 divisors (see below), whose sum is σ = 305839632. Its totient is φ = 61931520.

The previous prime is 138347239. The next prime is 138347267. The reversal of 138347264 is 462743831.

It is not an unprimeable number, because it can be changed into a prime (138347267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205232 + ... + 205904.

Almost surely, 2^138347264 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 138347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152919816).

138347264 is an abundant number, since it is smaller than the sum of its proper divisors (167492368).

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

138347264 is an equidigital number, since it uses as much as digits as its factorization.

138347264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 759 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 138347264 is about 11762.1113750891. Note that the first 3 decimals coincide. The cubic root of 138347264 is about 517.1980255717.

The spelling of 138347264 in words is "one hundred thirty-eight million, three hundred forty-seven thousand, two hundred sixty-four".