133506000 has 120 divisors (see below), whose sum is σ = 466354824. Its totient is φ = 35596800.

The previous prime is 133505987. The next prime is 133506001. The reversal of 133506000 is 605331.

133506000 is a `hidden beast` number, since 13 + 3 + 50 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 133263936 = 492^2 + 11544^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133506001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14292 + ... + 21708.

Almost surely, 2^133506000 is an apocalyptic number.

133506000 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 133506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233177412).

133506000 is an abundant number, since it is smaller than the sum of its proper divisors (332848824).

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

133506000 is a wasteful number, since it uses less digits than its factorization.

133506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133506000 is about 11554.4796507675. The cubic root of 133506000 is about 511.0933866289.

The spelling of 133506000 in words is "one hundred thirty-three million, five hundred six thousand".