133666560 has 216 divisors, whose sum is σ = 475426224. Its totient is φ = 34652160.

The previous prime is 133666523. The next prime is 133666567. The reversal of 133666560 is 65666331.

It is a happy number.

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 (133666567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472179 + ... + 472461.

Almost surely, 2^133666560 is an apocalyptic number.

133666560 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 133666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237713112).

133666560 is an abundant number, since it is smaller than the sum of its proper divisors (341759664).

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

133666560 is a wasteful number, since it uses less digits than its factorization.

133666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 133666560 is about 11561.4255176427. The cubic root of 133666560 is about 511.2981921043.

It can be divided in two parts, 1336 and 66560, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 133666560 in words is "one hundred thirty-three million, six hundred sixty-six thousand, five hundred sixty".