133832520 has 128 divisors (see below), whose sum is σ = 451785600. Its totient is φ = 35235072.

The previous prime is 133832519. The next prime is 133832521. The reversal of 133832520 is 25238331.

133832520 is a `hidden beast` number, since 1 + 338 + 325 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133832519) and next prime (133832521).

It is a super-2 number, since 2×133832520² = 35822286819100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133832521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88894 + ... + 90386.

It is an arithmetic number, because the mean of its divisors is an integer number (3529575).

Almost surely, 2^133832520 is an apocalyptic number.

133832520 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 133832520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225892800).

133832520 is an abundant number, since it is smaller than the sum of its proper divisors (317953080).

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

133832520 is a wasteful number, since it uses less digits than its factorization.

133832520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1586 counting only the distinct ones).

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

The square root of 133832520 is about 11568.6006068150. The cubic root of 133832520 is about 511.5097133543.

The spelling of 133832520 in words is "one hundred thirty-three million, eight hundred thirty-two thousand, five hundred twenty".