133303053243444 has 288 divisors, whose sum is σ = 389778317107200. Its totient is φ = 35251380299520.

The previous prime is 133303053243443. The next prime is 133303053243457. The reversal of 133303053243444 is 444342350303331.

It is a super-2 number, since 2×133303053243444² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 133303053243396 and 133303053243405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303053243443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5780943987 + ... + 5780967045.

It is an arithmetic number, because the mean of its divisors is an integer number (1353396934400).

Almost surely, 2^{133303053243444} is an apocalyptic number.

133303053243444 is a gapful number since it is divisible by the number (14) 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 133303053243444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194889158553600).

133303053243444 is an abundant number, since it is smaller than the sum of its proper divisors (256475263863756).

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

133303053243444 is a wasteful number, since it uses less digits than its factorization.

133303053243444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36923 (or 36914 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 42.

The spelling of 133303053243444 in words is "one hundred thirty-three trillion, three hundred three billion, fifty-three million, two hundred forty-three thousand, four hundred forty-four".