138301428321 has 45 divisors (see below), whose sum is σ = 240369505761. Its totient is φ = 79015999608.

The previous prime is 138301428313. The next prime is 138301428323. The reversal of 138301428321 is 123824103831.

The square root of 138301428321 is 371889.

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

138301428321 is a `hidden beast` number, since 1 + 3 + 8 + 301 + 4 + 28 + 321 = 666.

It is not a de Polignac number, because 138301428321 - 2³ = 138301428313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138301428323) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23426056 + ... + 23431958.

Almost surely, 2^138301428321 is an apocalyptic number.

138301428321 is the 371889-th square number.

138301428321 is the 185945-th centered octagonal number.

It is an amenable number.

138301428321 is a deficient number, since it is larger than the sum of its proper divisors (102068077440).

138301428321 is an frugal number, since it uses more digits than its factorization.

138301428321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11832 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 138301428321 by its sum of digits (36), we get a square (4978851419556 = 2231334²).

The spelling of 138301428321 in words is "one hundred thirty-eight billion, three hundred one million, four hundred twenty-eight thousand, three hundred twenty-one".