133526016 has 160 divisors (see below), whose sum is σ = 426222720. Its totient is φ = 41029632.

The previous prime is 133525991. The next prime is 133526047. The reversal of 133526016 is 610625331.

133526016 is a `hidden beast` number, since 1 + 3 + 3 + 52 + 601 + 6 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 179341 + ... + 180083.

It is an arithmetic number, because the mean of its divisors is an integer number (2663892).

Almost surely, 2^133526016 is an apocalyptic number.

133526016 is a gapful number since it is divisible by the number (16) 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 133526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111360).

133526016 is an abundant number, since it is smaller than the sum of its proper divisors (292696704).

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

133526016 is an equidigital number, since it uses as much as digits as its factorization.

133526016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133526016 is about 11555.3457758736. The cubic root of 133526016 is about 511.1189273887.

The spelling of 133526016 in words is "one hundred thirty-three million, five hundred twenty-six thousand, sixteen".