133820000 has 60 divisors (see below), whose sum is σ = 329266476. Its totient is φ = 53520000.

The previous prime is 133819981. The next prime is 133820017. The reversal of 133820000 is 28331.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 16655 + ... + 23345.

Almost surely, 2^133820000 is an apocalyptic number.

133820000 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 133820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164633238).

133820000 is an abundant number, since it is smaller than the sum of its proper divisors (195446476).

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

133820000 is an frugal number, since it uses more digits than its factorization.

133820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 133820000 is about 11568.0594742593. The cubic root of 133820000 is about 511.4937623201.

Adding to 133820000 its reverse (28331), we get a palindrome (133848331).

The spelling of 133820000 in words is "one hundred thirty-three million, eight hundred twenty thousand".