133042383360000 has 1755 divisors, whose sum is σ = 504328978645921. Its totient is φ = 35079340032000.

The previous prime is 133042383359993. The next prime is 133042383360053. The reversal of 133042383360000 is 63383240331.

The square root of 133042383360000 is 11534400.

It is a perfect power (a square), and thus also a powerful number.

133042383360000 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 42 + 3 + 8 + 3 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 129243065094144 + 3799318265856 = 11368512^2 + 1949184^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1494858239956 + ... + 1494858240044.

Almost surely, 2^{133042383360000} is an apocalyptic number.

133042383360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133042383360000 is the 11534400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133042383360000

133042383360000 is an abundant number, since it is smaller than the sum of its proper divisors (371286595285921).

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

133042383360000 is an frugal number, since it uses more digits than its factorization.

133042383360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 99 counting only the distinct ones).

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

133042383360000 divided by its sum of digits (36) gives a square (3695621760000 = 1922400²).

The spelling of 133042383360000 in words is "one hundred thirty-three trillion, forty-two billion, three hundred eighty-three million, three hundred sixty thousand".