133002320 has 80 divisors (see below), whose sum is σ = 339085440. Its totient is φ = 48115200.

The previous prime is 133002313. The next prime is 133002341. The reversal of 133002320 is 23200331.

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

It is a junction number, because it is equal to n+sod(n) for n = 133002295 and 133002304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315710 + ... + 316130.

It is an arithmetic number, because the mean of its divisors is an integer number (4238568).

Almost surely, 2^133002320 is an apocalyptic number.

133002320 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 133002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169542720).

133002320 is an abundant number, since it is smaller than the sum of its proper divisors (206083120).

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

133002320 is a wasteful number, since it uses less digits than its factorization.

133002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 133002320 is about 11532.6631789886. The cubic root of 133002320 is about 510.4498401948.

Adding to 133002320 its reverse (23200331), we get a palindrome (156202651).

The spelling of 133002320 in words is "one hundred thirty-three million, two thousand, three hundred twenty".