133131344040 has 160 divisors (see below), whose sum is σ = 448021918080. Its totient is φ = 35457844608.

The previous prime is 133131344033. The next prime is 133131344053. The reversal of 133131344040 is 40443131331.

133131344040 is a `hidden beast` number, since 1 + 3 + 313 + 1 + 344 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133131343995 and 133131344013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2641557 + ... + 2691483.

It is an arithmetic number, because the mean of its divisors is an integer number (2800136988).

Almost surely, 2^133131344040 is an apocalyptic number.

133131344040 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 133131344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224010959040).

133131344040 is an abundant number, since it is smaller than the sum of its proper divisors (314890574040).

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

133131344040 is a wasteful number, since it uses less digits than its factorization.

133131344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50773 (or 50760 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133131344040 its reverse (40443131331), we get a palindrome (173574475371).

The spelling of 133131344040 in words is "one hundred thirty-three billion, one hundred thirty-one million, three hundred forty-four thousand, forty".