133466400 has 288 divisors, whose sum is σ = 498718080. Its totient is φ = 34421760.

The previous prime is 133466387. The next prime is 133466413. The reversal of 133466400 is 4664331.

133466400 is a `hidden beast` number, since 13 + 3 + 4 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133466387) and next prime (133466413).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 799117 + ... + 799283.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^133466400 is an apocalyptic number.

133466400 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 133466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

133466400 is an abundant number, since it is smaller than the sum of its proper divisors (365251680).

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

133466400 is a wasteful number, since it uses less digits than its factorization.

133466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 133466400 is about 11552.7659025880. The cubic root of 133466400 is about 511.0428488265.

The spelling of 133466400 in words is "one hundred thirty-three million, four hundred sixty-six thousand, four hundred".