133564004560 has 160 divisors (see below), whose sum is σ = 358694899200. Its totient is φ = 45304842240.

The previous prime is 133564004507. The next prime is 133564004603. The reversal of 133564004560 is 65400465331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56094570 + ... + 56096950.

It is an arithmetic number, because the mean of its divisors is an integer number (2241843120).

Almost surely, 2^133564004560 is an apocalyptic number.

133564004560 is a gapful number since it is divisible by the number (10) 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 133564004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179347449600).

133564004560 is an abundant number, since it is smaller than the sum of its proper divisors (225130894640).

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

133564004560 is a wasteful number, since it uses less digits than its factorization.

133564004560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 133564004560 its reverse (65400465331), we get a palindrome (198964469891).

The spelling of 133564004560 in words is "one hundred thirty-three billion, five hundred sixty-four million, four thousand, five hundred sixty".