138075378300304 has 45 divisors (see below), whose sum is σ = 269655754484331. Its totient is φ = 68491124160480.

The previous prime is 138075378300259. The next prime is 138075378300329. The reversal of 138075378300304 is 403003873570831.

The square root of 138075378300304 is 11750548.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5969266819 + ... + 5969289949.

Almost surely, 2^{138075378300304} is an apocalyptic number.

138075378300304 is the 11750548-th square number.

It is an amenable number.

138075378300304 is a deficient number, since it is larger than the sum of its proper divisors (131580376184027).

138075378300304 is an frugal number, since it uses more digits than its factorization.

138075378300304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46524 (or 23260 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 138075378300304 in words is "one hundred thirty-eight trillion, seventy-five billion, three hundred seventy-eight million, three hundred thousand, three hundred four".