133416300 has 72 divisors (see below), whose sum is σ = 388475136. Its totient is φ = 35351360.

The previous prime is 133416293. The next prime is 133416301. The reversal of 133416300 is 3614331.

It is not an unprimeable number, because it can be changed into a prime (133416301) 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 23 ways as a sum of consecutive naturals, for example, 48769 + ... + 51431.

It is an arithmetic number, because the mean of its divisors is an integer number (5395488).

Almost surely, 2^133416300 is an apocalyptic number.

133416300 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 133416300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194237568).

133416300 is an abundant number, since it is smaller than the sum of its proper divisors (255058836).

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

133416300 is a wasteful number, since it uses less digits than its factorization.

133416300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 133416300 is about 11550.5973871484. The cubic root of 133416300 is about 510.9788965234.

The spelling of 133416300 in words is "one hundred thirty-three million, four hundred sixteen thousand, three hundred".