136935522304 has 225 divisors, whose sum is σ = 324994279547. Its totient is φ = 57691963392.

The previous prime is 136935522289. The next prime is 136935522323. The reversal of 136935522304 is 403225539631.

It is a happy number.

The square root of 136935522304 is 370048.

It is a perfect power (a square), and thus also a powerful 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 14 ways as a sum of consecutive naturals, for example, 2320941027 + ... + 2320941085.

Almost surely, 2^136935522304 is an apocalyptic number.

136935522304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

136935522304 is the 370048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136935522304

136935522304 is an abundant number, since it is smaller than the sum of its proper divisors (188058757243).

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

136935522304 is an frugal number, since it uses more digits than its factorization.

136935522304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 43.

The spelling of 136935522304 in words is "one hundred thirty-six billion, nine hundred thirty-five million, five hundred twenty-two thousand, three hundred four".