135353353216 has 33 divisors (see below), whose sum is σ = 270598061829. Its totient is φ = 67670790144.

The previous prime is 135353353159. The next prime is 135353353217. The reversal of 135353353216 is 612353353531.

The square root of 135353353216 is 367904.

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., 81202201600 + 54151151616 = 284960^2 + 232704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135353353217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11767180 + ... + 11778676.

Almost surely, 2^135353353216 is an apocalyptic number.

135353353216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135353353216 is the 367904-th square number.

It is an amenable number.

135353353216 is a deficient number, since it is larger than the sum of its proper divisors (135244708613).

135353353216 is an frugal number, since it uses more digits than its factorization.

135353353216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23014 (or 11499 counting only the distinct ones).

The product of its digits is 364500, while the sum is 40.

The spelling of 135353353216 in words is "one hundred thirty-five billion, three hundred fifty-three million, three hundred fifty-three thousand, two hundred sixteen".