133854966 has 72 divisors (see below), whose sum is σ = 344653920. Its totient is φ = 37418976.

The previous prime is 133854953. The next prime is 133854971. The reversal of 133854966 is 669458331.

133854966 is a `hidden beast` number, since 13 + 38 + 549 + 66 = 666.

It is a super-2 number, since 2×133854966² = 35834303845722312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39840 + ... + 43068.

It is an arithmetic number, because the mean of its divisors is an integer number (4786860).

Almost surely, 2^133854966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133854966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172326960).

133854966 is an abundant number, since it is smaller than the sum of its proper divisors (210798954).

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

133854966 is a wasteful number, since it uses less digits than its factorization.

133854966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3288 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 133854966 is about 11569.5706921216. The cubic root of 133854966 is about 511.5383080616.

The spelling of 133854966 in words is "one hundred thirty-three million, eight hundred fifty-four thousand, nine hundred sixty-six".