133766000 has 40 divisors (see below), whose sum is σ = 323451024. Its totient is φ = 53505600.

The previous prime is 133765987. The next prime is 133766027. The reversal of 133766000 is 667331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31442 + ... + 35441.

Almost surely, 2^133766000 is an apocalyptic number.

133766000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133766000 is an abundant number, since it is smaller than the sum of its proper divisors (189685024).

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

133766000 is an equidigital number, since it uses as much as digits as its factorization.

133766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66906 (or 66890 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 133766000 is about 11565.7252258559. The cubic root of 133766000 is about 511.4249525277.

The spelling of 133766000 in words is "one hundred thirty-three million, seven hundred sixty-six thousand".