138728162437264 has 45 divisors (see below), whose sum is σ = 278376635352907. Its totient is φ = 66971556764672.

The previous prime is 138728162437231. The next prime is 138728162437313. The reversal of 138728162437264 is 462734261827831.

It is a happy number.

The square root of 138728162437264 is 11778292.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38115065587600 + 100613096849664 = 6173740^2 + 10030608^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138728162437196 and 138728162437205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1366231104 + ... + 1366332640.

Almost surely, 2^{138728162437264} is an apocalyptic number.

138728162437264 is the 11778292-nd square number.

It is an amenable number.

138728162437264 is an abundant number, since it is smaller than the sum of its proper divisors (139648472915643).

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

138728162437264 is an frugal number, since it uses more digits than its factorization.

138728162437264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203140 (or 101568 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 64.

The spelling of 138728162437264 in words is "one hundred thirty-eight trillion, seven hundred twenty-eight billion, one hundred sixty-two million, four hundred thirty-seven thousand, two hundred sixty-four".