138771150400 has 189 divisors, whose sum is σ = 349148030049. Its totient is φ = 54286594560.

The previous prime is 138771150379. The next prime is 138771150403. The reversal of 138771150400 is 4051177831.

The square root of 138771150400 is 372520.

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., 49957614144 + 88813536256 = 223512^2 + 298016^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138771150400.

It is not an unprimeable number, because it can be changed into a prime (138771150403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 998353531 + ... + 998353669.

Almost surely, 2^138771150400 is an apocalyptic number.

138771150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138771150400 is the 372520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138771150400

138771150400 is an abundant number, since it is smaller than the sum of its proper divisors (210376879649).

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

138771150400 is an frugal number, since it uses more digits than its factorization.

138771150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 138771150400 in words is "one hundred thirty-eight billion, seven hundred seventy-one million, one hundred fifty thousand, four hundred".