133804512 has 72 divisors (see below), whose sum is σ = 385388640. Its totient is φ = 44029440.

The previous prime is 133804511. The next prime is 133804513. The reversal of 133804512 is 215408331.

It is a happy number.

133804512 is a `hidden beast` number, since 133 + 80 + 451 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133804511) and next prime (133804513).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133804511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19812 + ... + 25692.

It is an arithmetic number, because the mean of its divisors is an integer number (5352620).

Almost surely, 2^133804512 is an apocalyptic number.

133804512 is a gapful number since it is divisible by the number (12) 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 133804512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192694320).

133804512 is an abundant number, since it is smaller than the sum of its proper divisors (251584128).

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

133804512 is a wasteful number, since it uses less digits than its factorization.

133804512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 133804512 is about 11567.3900254120. The cubic root of 133804512 is about 511.4740285458.

The spelling of 133804512 in words is "one hundred thirty-three million, eight hundred four thousand, five hundred twelve".