137783367229456 has 45 divisors (see below), whose sum is σ = 289071192679479. Its totient is φ = 63592041621888.

The previous prime is 137783367229381. The next prime is 137783367229537. The reversal of 137783367229456 is 654922763387731.

The square root of 137783367229456 is 11738116.

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

137783367229456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106227735075856 + 31555632153600 = 10306684^2 + 5617440^2 .

It is a super-3 number, since 3×137783367229456³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 610269166 + ... + 610494898.

Almost surely, 2^{137783367229456} is an apocalyptic number.

137783367229456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137783367229456 is the 11738116-th square number.

It is an amenable number.

137783367229456 is an abundant number, since it is smaller than the sum of its proper divisors (151287825450023).

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

137783367229456 is an frugal number, since it uses more digits than its factorization.

137783367229456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451500 (or 225748 counting only the distinct ones).

The product of its digits is 1920360960, while the sum is 73.

The spelling of 137783367229456 in words is "one hundred thirty-seven trillion, seven hundred eighty-three billion, three hundred sixty-seven million, two hundred twenty-nine thousand, four hundred fifty-six".