133803109440 has 1792 divisors, whose sum is σ = 644954849280. Its totient is φ = 25530163200.

The previous prime is 133803109439. The next prime is 133803109441. The reversal of 133803109440 is 44901308331.

133803109440 is a `hidden beast` number, since 1 + 33 + 80 + 3 + 109 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (133803109439) and next prime (133803109441).

It is a super-2 number, since 2×133803109440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133803109395 and 133803109404.

It is not an unprimeable number, because it can be changed into a prime (133803109441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 700539745 + ... + 700539935.

It is an arithmetic number, because the mean of its divisors is an integer number (359907840).

Almost surely, 2^133803109440 is an apocalyptic number.

133803109440 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 133803109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322477424640).

133803109440 is an abundant number, since it is smaller than the sum of its proper divisors (511151739840).

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

133803109440 is a wasteful number, since it uses less digits than its factorization.

133803109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 133803109440 in words is "one hundred thirty-three billion, eight hundred three million, one hundred nine thousand, four hundred forty".