133523712 has 216 divisors, whose sum is σ = 466816896. Its totient is φ = 35831808.

The previous prime is 133523657. The next prime is 133523723. The reversal of 133523712 is 217325331.

133523712 is a `hidden beast` number, since 133 + 523 + 7 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273933 + ... + 274419.

Almost surely, 2^133523712 is an apocalyptic number.

133523712 is a gapful number since it is divisible by the number (12) 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 133523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233408448).

133523712 is an abundant number, since it is smaller than the sum of its proper divisors (333293184).

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

133523712 is a wasteful number, since it uses less digits than its factorization.

133523712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 516 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 133523712 is about 11555.2460813260. The cubic root of 133523712 is about 511.1159875751.

The spelling of 133523712 in words is "one hundred thirty-three million, five hundred twenty-three thousand, seven hundred twelve".