138345664 has 42 divisors (see below), whose sum is σ = 282328620. Its totient is φ = 67260672.

The previous prime is 138345637. The next prime is 138345671. The reversal of 138345664 is 466543831.

138345664 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86827 + ... + 88405.

It is an arithmetic number, because the mean of its divisors is an integer number (6722110).

Almost surely, 2^138345664 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 138345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141164310).

138345664 is an abundant number, since it is smaller than the sum of its proper divisors (143982956).

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

138345664 is an equidigital number, since it uses as much as digits as its factorization.

138345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1618 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 138345664 is about 11762.0433598929. The cubic root of 138345664 is about 517.1960317483.

The spelling of 138345664 in words is "one hundred thirty-eight million, three hundred forty-five thousand, six hundred sixty-four".