133468560 has 200 divisors, whose sum is σ = 475326720. Its totient is φ = 34691328.

The previous prime is 133468553. The next prime is 133468567. The reversal of 133468560 is 65864331.

133468560 is a `hidden beast` number, since 1 + 3 + 34 + 68 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (133468553) and next prime (133468567).

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 (133468567) 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 39 ways as a sum of consecutive naturals, for example, 278401 + ... + 278879.

Almost surely, 2^133468560 is an apocalyptic number.

133468560 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 133468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237663360).

133468560 is an abundant number, since it is smaller than the sum of its proper divisors (341858160).

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

133468560 is a wasteful number, since it uses less digits than its factorization.

133468560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 133468560 is about 11552.8593863164. The cubic root of 133468560 is about 511.0456056917.

The spelling of 133468560 in words is "one hundred thirty-three million, four hundred sixty-eight thousand, five hundred sixty".