133898320 has 80 divisors (see below), whose sum is σ = 330603840. Its totient is φ = 50291712.

The previous prime is 133898267. The next prime is 133898327. The reversal of 133898320 is 23898331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 133898320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133898327) 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 15 ways as a sum of consecutive naturals, for example, 207919 + ... + 208561.

It is an arithmetic number, because the mean of its divisors is an integer number (4132548).

Almost surely, 2^133898320 is an apocalyptic number.

133898320 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 133898320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165301920).

133898320 is an abundant number, since it is smaller than the sum of its proper divisors (196705520).

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

133898320 is a wasteful number, since it uses less digits than its factorization.

133898320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 133898320 is about 11571.4441622470. Note that the first 3 decimals coincide. The cubic root of 133898320 is about 511.5935291181.

The spelling of 133898320 in words is "one hundred thirty-three million, eight hundred ninety-eight thousand, three hundred twenty".