135362576448 has 168 divisors, whose sum is σ = 425395339200. Its totient is φ = 40812456960.

The previous prime is 135362576443. The next prime is 135362576473. The reversal of 135362576448 is 844675263531.

135362576448 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 62 + 576 + 4 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135362576394 and 135362576403.

It is not an unprimeable number, because it can be changed into a prime (135362576443) 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 23 ways as a sum of consecutive naturals, for example, 1207186 + ... + 1314542.

Almost surely, 2^135362576448 is an apocalyptic number.

135362576448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135362576448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212697669600).

135362576448 is an abundant number, since it is smaller than the sum of its proper divisors (290032762752).

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

135362576448 is a wasteful number, since it uses less digits than its factorization.

135362576448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107585 (or 107572 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 135362576448 in words is "one hundred thirty-five billion, three hundred sixty-two million, five hundred seventy-six thousand, four hundred forty-eight".