133764736 has 64 divisors (see below), whose sum is σ = 306146880. Its totient is φ = 57028608.

The previous prime is 133764671. The next prime is 133764737. The reversal of 133764736 is 637467331.

133764736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (133764737) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 301731 + ... + 302173.

It is an arithmetic number, because the mean of its divisors is an integer number (4783545).

Almost surely, 2^133764736 is an apocalyptic number.

133764736 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 133764736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153073440).

133764736 is an abundant number, since it is smaller than the sum of its proper divisors (172382144).

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

133764736 is an equidigital number, since it uses as much as digits as its factorization.

133764736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its digits is 190512, while the sum is 40.

The square root of 133764736 is about 11565.6705815097. The cubic root of 133764736 is about 511.4233416471.

The spelling of 133764736 in words is "one hundred thirty-three million, seven hundred sixty-four thousand, seven hundred thirty-six".