137224777632804 has 243 divisors, whose sum is σ = 368591234953851. Its totient is φ = 43040205139680.

The previous prime is 137224777632707. The next prime is 137224777632829. The reversal of 137224777632804 is 408236777422731.

The square root of 137224777632804 is 11714298.

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

137224777632804 is a `hidden beast` number, since 1 + 3 + 7 + 22 + 477 + 7 + 63 + 2 + 80 + 4 = 666.

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 80 ways as a sum of consecutive naturals, for example, 281775723849 + ... + 281775724335.

Almost surely, 2^{137224777632804} is an apocalyptic number.

137224777632804 is the 11714298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137224777632804

137224777632804 is an abundant number, since it is smaller than the sum of its proper divisors (231366457321047).

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

137224777632804 is an equidigital number, since it uses as much as digits as its factorization.

137224777632804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 132765696, while the sum is 63.

The spelling of 137224777632804 in words is "one hundred thirty-seven trillion, two hundred twenty-four billion, seven hundred seventy-seven million, six hundred thirty-two thousand, eight hundred four".