133201408 has 40 divisors (see below), whose sum is σ = 275350680. Its totient is φ = 64296960.

The previous prime is 133201403. The next prime is 133201417. The reversal of 133201408 is 804102331.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10363 + ... + 19333.

It is an arithmetic number, because the mean of its divisors is an integer number (6883767).

Almost surely, 2^133201408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137675340).

133201408 is an abundant number, since it is smaller than the sum of its proper divisors (142149272).

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

133201408 is an frugal number, since it uses more digits than its factorization.

133201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 133201408 is about 11541.2914355370. The cubic root of 133201408 is about 510.7044066152.

Adding to 133201408 its reverse (804102331), we get a palindrome (937303739).

The spelling of 133201408 in words is "one hundred thirty-three million, two hundred one thousand, four hundred eight".