133500528 has 160 divisors (see below), whose sum is σ = 442590720. Its totient is φ = 37739520.

The previous prime is 133500503. The next prime is 133500553. The reversal of 133500528 is 825005331.

133500528 = 2027² + 2028² + ... + 2058².

133500528 is a `hidden beast` number, since 133 + 5 + 0 + 0 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (133500503) and next prime (133500553).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395976 + ... + 396312.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2^133500528 is an apocalyptic number.

133500528 is a gapful number since it is divisible by the number (18) 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 133500528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221295360).

133500528 is an abundant number, since it is smaller than the sum of its proper divisors (309090192).

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

133500528 is a wasteful number, since it uses less digits than its factorization.

133500528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 133500528 is about 11554.2428570634. The cubic root of 133500528 is about 511.0864038186.

Adding to 133500528 its reverse (825005331), we get a palindrome (958505859).

The spelling of 133500528 in words is "one hundred thirty-three million, five hundred thousand, five hundred twenty-eight".