138400368484 has 27 divisors (see below), whose sum is σ = 281754210297. Its totient is φ = 59312211504.

The previous prime is 138400368473. The next prime is 138400368541. The reversal of 138400368484 is 484863004831.

The square root of 138400368484 is 372022.

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

It can be written as a sum of positive squares in only one way, i.e., 138317048100 + 83320384 = 371910^2 + 9128^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 5195022 + ... + 5221594.

Almost surely, 2^138400368484 is an apocalyptic number.

138400368484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138400368484 is the 372022-nd square number.

It is an amenable number.

138400368484 is an abundant number, since it is smaller than the sum of its proper divisors (143353841813).

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

138400368484 is an frugal number, since it uses more digits than its factorization.

138400368484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53164 (or 26582 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

Multiplying 138400368484 by its sum of digits (49), we get a square (6781618055716 = 2604154²).

138400368484 divided by its sum of digits (49) gives a square (2824497316 = 53146²).

The spelling of 138400368484 in words is "one hundred thirty-eight billion, four hundred million, three hundred sixty-eight thousand, four hundred eighty-four".