133906000 has 160 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 49280000.

The previous prime is 133905971. The next prime is 133906001. The reversal of 133906000 is 609331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133906001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1885965 + ... + 1886035.

Almost surely, 2^133906000 is an apocalyptic number.

133906000 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 133906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

133906000 is an abundant number, since it is smaller than the sum of its proper divisors (217071536).

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

133906000 is a wasteful number, since it uses less digits than its factorization.

133906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 133906000 is about 11571.7760088934. The cubic root of 133906000 is about 511.6033100802.

The spelling of 133906000 in words is "one hundred thirty-three million, nine hundred six thousand".