133382520 has 192 divisors, whose sum is σ = 459950400. Its totient is φ = 33454080.

The previous prime is 133382507. The next prime is 133382563. The reversal of 133382520 is 25283331.

133382520 is a `hidden beast` number, since 133 + 3 + 8 + 2 + 520 = 666.

133382520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736830 + ... + 737010.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^133382520 is an apocalyptic number.

133382520 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 133382520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

133382520 is an abundant number, since it is smaller than the sum of its proper divisors (326567880).

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

133382520 is a wasteful number, since it uses less digits than its factorization.

133382520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133382520 is about 11549.1350325468. The cubic root of 133382520 is about 510.9357675502.

The spelling of 133382520 in words is "one hundred thirty-three million, three hundred eighty-two thousand, five hundred twenty".