133132320 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 34877952.

The previous prime is 133132319. The next prime is 133132331. The reversal of 133132320 is 23231331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×133132320³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133132293 and 133132302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84177 + ... + 85743.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^133132320 is an apocalyptic number.

133132320 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 133132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

133132320 is an abundant number, since it is smaller than the sum of its proper divisors (329176800).

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

133132320 is a wasteful number, since it uses less digits than its factorization.

133132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133132320 is about 11538.2979680714. The cubic root of 133132320 is about 510.6160951162.

Adding to 133132320 its reverse (23231331), we get a palindrome (156363651).

The spelling of 133132320 in words is "one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty".