133794864 has 240 divisors, whose sum is σ = 464256000. Its totient is φ = 35126784.

The previous prime is 133794839. The next prime is 133794883. The reversal of 133794864 is 468497331.

It is a super-3 number, since 3×133794864³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672237 + ... + 672435.

It is an arithmetic number, because the mean of its divisors is an integer number (1934400).

Almost surely, 2^133794864 is an apocalyptic number.

133794864 is a gapful number since it is divisible by the number (14) 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 133794864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128000).

133794864 is an abundant number, since it is smaller than the sum of its proper divisors (330461136).

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

133794864 is a wasteful number, since it uses less digits than its factorization.

133794864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 133794864 is about 11566.9729834560. The cubic root of 133794864 is about 511.4617349393.

The spelling of 133794864 in words is "one hundred thirty-three million, seven hundred ninety-four thousand, eight hundred sixty-four".