133302443904 has 512 divisors, whose sum is σ = 463298688000. Its totient is φ = 37408407552.

The previous prime is 133302443887. The next prime is 133302443929. The reversal of 133302443904 is 409344203331.

It is a super-2 number, since 2×133302443904² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115612992 + ... + 115614144.

It is an arithmetic number, because the mean of its divisors is an integer number (904880250).

Almost surely, 2^133302443904 is an apocalyptic number.

133302443904 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 133302443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231649344000).

133302443904 is an abundant number, since it is smaller than the sum of its proper divisors (329996244096).

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

133302443904 is an frugal number, since it uses more digits than its factorization.

133302443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 133302443904 in words is "one hundred thirty-three billion, three hundred two million, four hundred forty-three thousand, nine hundred four".