138455433216 has 675 divisors, whose sum is σ = 463751580369. Its totient is φ = 41150840832.

The previous prime is 138455433089. The next prime is 138455433229. The reversal of 138455433216 is 612334554831.

The square root of 138455433216 is 372096.

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

138455433216 is a `hidden beast` number, since 1 + 3 + 84 + 5 + 543 + 3 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107794022400 + 30661410816 = 328320^2 + 175104^2 .

It is a super-3 number, since 3×138455433216³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7287128055 + ... + 7287128073.

Almost surely, 2^138455433216 is an apocalyptic number.

138455433216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138455433216 is the 372096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138455433216

138455433216 is an abundant number, since it is smaller than the sum of its proper divisors (325296147153).

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

138455433216 is an frugal number, since it uses more digits than its factorization.

138455433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 41 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 138455433216 in words is "one hundred thirty-eight billion, four hundred fifty-five million, four hundred thirty-three thousand, two hundred sixteen".