135234478289296 has 45 divisors (see below), whose sum is σ = 262971525997089. Its totient is φ = 67371750194688.

The previous prime is 135234478289249. The next prime is 135234478289297. The reversal of 135234478289296 is 692982874432531.

The square root of 135234478289296 is 11629036.

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

135234478289296 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 only one way, i.e., 30329031552400 + 104905446736896 = 5507180^2 + 10242336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135234478289297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13164063616 + ... + 13164073888.

Almost surely, 2^{135234478289296} is an apocalyptic number.

135234478289296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135234478289296 is the 11629036-th square number.

It is an amenable number.

135234478289296 is a deficient number, since it is larger than the sum of its proper divisors (127737047707793).

135234478289296 is an frugal number, since it uses more digits than its factorization.

135234478289296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120 (or 10558 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 73.

The spelling of 135234478289296 in words is "one hundred thirty-five trillion, two hundred thirty-four billion, four hundred seventy-eight million, two hundred eighty-nine thousand, two hundred ninety-six".