138777110784 has 405 divisors, whose sum is σ = 450351220473. Its totient is φ = 42486073344.

The previous prime is 138777110779. The next prime is 138777110807. The reversal of 138777110784 is 487011777831.

The square root of 138777110784 is 372528.

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

138777110784 is a `hidden beast` number, since 1 + 387 + 77 + 110 + 7 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20529158400 + 118247952384 = 143280^2 + 343872^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 138777110784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 697372317 + ... + 697372515.

Almost surely, 2^138777110784 is an apocalyptic number.

138777110784 is the 372528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138777110784

138777110784 is an abundant number, since it is smaller than the sum of its proper divisors (311574109689).

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

138777110784 is an frugal number, since it uses more digits than its factorization.

138777110784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 54.

The spelling of 138777110784 in words is "one hundred thirty-eight billion, seven hundred seventy-seven million, one hundred ten thousand, seven hundred eighty-four".