133966560 has 192 divisors, whose sum is σ = 519547392. Its totient is φ = 28256256.

The previous prime is 133966523. The next prime is 133966561. The reversal of 133966560 is 65669331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133966561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42147 + ... + 45213.

It is an arithmetic number, because the mean of its divisors is an integer number (2705976).

Almost surely, 2^133966560 is an apocalyptic number.

133966560 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 133966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259773696).

133966560 is an abundant number, since it is smaller than the sum of its proper divisors (385580832).

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

133966560 is a wasteful number, since it uses less digits than its factorization.

133966560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 133966560 is about 11574.3924246588. The cubic root of 133966560 is about 511.6804239435.

The spelling of 133966560 in words is "one hundred thirty-three million, nine hundred sixty-six thousand, five hundred sixty".