135858419612224 has 63 divisors (see below), whose sum is σ = 270138971311401. Its totient is φ = 67792183845120.

The previous prime is 135858419612213. The next prime is 135858419612257. The reversal of 135858419612224 is 422216914858531.

The square root of 135858419612224 is 11655832.

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., 113342255797824 + 22516163814400 = 10646232^2 + 4745120^2 .

It is a super-2 number, since 2×135858419612224² (a number of 29 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58838638782 + ... + 58838641090.

Almost surely, 2^{135858419612224} is an apocalyptic number.

135858419612224 is the 11655832-nd square number.

It is an amenable number.

135858419612224 is a deficient number, since it is larger than the sum of its proper divisors (134280551699177).

135858419612224 is an frugal number, since it uses more digits than its factorization.

135858419612224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 2942 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 61.

The spelling of 135858419612224 in words is "one hundred thirty-five trillion, eight hundred fifty-eight billion, four hundred nineteen million, six hundred twelve thousand, two hundred twenty-four".