133576560 has 320 divisors, whose sum is σ = 509967360. Its totient is φ = 31933440.

The previous prime is 133576543. The next prime is 133576567. The reversal of 133576560 is 65675331.

It is a happy number.

133576560 is a `hidden beast` number, since 1 + 33 + 576 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133576567) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1881325 + ... + 1881395.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648).

Almost surely, 2^133576560 is an apocalyptic number.

133576560 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 133576560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

133576560 is an abundant number, since it is smaller than the sum of its proper divisors (376390800).

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

133576560 is a wasteful number, since it uses less digits than its factorization.

133576560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 133576560 is about 11557.5326086497. The cubic root of 133576560 is about 511.1834110423.

The spelling of 133576560 in words is "one hundred thirty-three million, five hundred seventy-six thousand, five hundred sixty".