138426519630400 has 189 divisors, whose sum is σ = 342409626962841. Its totient is φ = 55080518177280.

The previous prime is 138426519630383. The next prime is 138426519630437. The reversal of 138426519630400 is 4036915624831.

The square root of 138426519630400 is 11765480.

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., 49833547066944 + 88592972563456 = 7059288^2 + 9412384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104948080941 + ... + 104948082259.

Almost surely, 2^{138426519630400} is an apocalyptic number.

138426519630400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138426519630400 is the 11765480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138426519630400

138426519630400 is an abundant number, since it is smaller than the sum of its proper divisors (203983107332441).

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

138426519630400 is an frugal number, since it uses more digits than its factorization.

138426519630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 138426519630400 in words is "one hundred thirty-eight trillion, four hundred twenty-six billion, five hundred nineteen million, six hundred thirty thousand, four hundred".