133968640 has 144 divisors (see below), whose sum is σ = 353350368. Its totient is φ = 48365568.

The previous prime is 133968631. The next prime is 133968641. The reversal of 133968640 is 46869331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 133968593 and 133968602.

It is not an unprimeable number, because it can be changed into a prime (133968641) 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 15 ways as a sum of consecutive naturals, for example, 1381072 + ... + 1381168.

It is an arithmetic number, because the mean of its divisors is an integer number (2453822).

Almost surely, 2^133968640 is an apocalyptic number.

133968640 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 133968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176675184).

133968640 is an abundant number, since it is smaller than the sum of its proper divisors (219381728).

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

133968640 is an equidigital number, since it uses as much as digits as its factorization.

133968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 133968640 is about 11574.4822778386. The cubic root of 133968640 is about 511.6830720913.

The spelling of 133968640 in words is "one hundred thirty-three million, nine hundred sixty-eight thousand, six hundred forty".