133696640 has 128 divisors (see below), whose sum is σ = 398632320. Its totient is φ = 41656320.

The previous prime is 133696639. The next prime is 133696643. The reversal of 133696640 is 46696331.

133696640 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 (128).

It is a junction number, because it is equal to n+sod(n) for n = 133696594 and 133696603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133696643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47924 + ... + 50636.

It is an arithmetic number, because the mean of its divisors is an integer number (3114315).

Almost surely, 2^133696640 is an apocalyptic number.

133696640 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 133696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199316160).

133696640 is an abundant number, since it is smaller than the sum of its proper divisors (264935680).

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

133696640 is a wasteful number, since it uses less digits than its factorization.

133696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 133696640 is about 11562.7263221093. The cubic root of 133696640 is about 511.3365429979.

The spelling of 133696640 in words is "one hundred thirty-three million, six hundred ninety-six thousand, six hundred forty".