133546560 has 336 divisors, whose sum is σ = 525377664. Its totient is φ = 28557312.

The previous prime is 133546549. The next prime is 133546561. The reversal of 133546560 is 65645331.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (133546561) 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 47 ways as a sum of consecutive naturals, for example, 799597 + ... + 799763.

It is an arithmetic number, because the mean of its divisors is an integer number (1563624).

Almost surely, 2^133546560 is an apocalyptic number.

133546560 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 133546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262688832).

133546560 is an abundant number, since it is smaller than the sum of its proper divisors (391831104).

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

133546560 is a wasteful number, since it uses less digits than its factorization.

133546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 133546560 is about 11556.2346808984. The cubic root of 133546560 is about 511.1451392314.

It can be divided in two parts, 1335 and 46560, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 133546560 in words is "one hundred thirty-three million, five hundred forty-six thousand, five hundred sixty".