135441664576 has 63 divisors (see below), whose sum is σ = 271332686569. Its totient is φ = 67080470528.

The previous prime is 135441664541. The next prime is 135441664627. The reversal of 135441664576 is 675466144531.

The square root of 135441664576 is 368024.

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., 133341825600 + 2099838976 = 365160^2 + 45824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 527010240 + ... + 527010496.

Almost surely, 2^135441664576 is an apocalyptic number.

135441664576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135441664576 is the 368024-th square number.

It is an amenable number.

135441664576 is an abundant number, since it is smaller than the sum of its proper divisors (135891021993).

135441664576 is an frugal number, since it uses more digits than its factorization.

135441664576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 438 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 52.

The spelling of 135441664576 in words is "one hundred thirty-five billion, four hundred forty-one million, six hundred sixty-four thousand, five hundred seventy-six".