133663320 has 384 divisors, whose sum is σ = 539136000. Its totient is φ = 28062720.

The previous prime is 133663241. The next prime is 133663331. The reversal of 133663320 is 23366331.

133663320 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 633 + 20 = 666.

It is a super-2 number, since 2×133663320² = 35731766226844800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2265451 + ... + 2265509.

It is an arithmetic number, because the mean of its divisors is an integer number (1404000).

Almost surely, 2^133663320 is an apocalyptic number.

133663320 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 133663320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568000).

133663320 is an abundant number, since it is smaller than the sum of its proper divisors (405472680).

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

133663320 is a wasteful number, since it uses less digits than its factorization.

133663320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 133663320 is about 11561.2853956643. The cubic root of 133663320 is about 511.2940608802.

The spelling of 133663320 in words is "one hundred thirty-three million, six hundred sixty-three thousand, three hundred twenty".