133233097536 has 1344 divisors, whose sum is σ = 528854237184. Its totient is φ = 32248627200.

The previous prime is 133233097519. The next prime is 133233097549. The reversal of 133233097536 is 635790332331.

133233097536 is a `hidden beast` number, since 1 + 3 + 3 + 23 + 3 + 0 + 97 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 133233097491 and 133233097500.

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 191 ways as a sum of consecutive naturals, for example, 1373537040 + ... + 1373537136.

It is an arithmetic number, because the mean of its divisors is an integer number (393492736).

Almost surely, 2^133233097536 is an apocalyptic number.

133233097536 is a gapful number since it is divisible by the number (16) 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 133233097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264427118592).

133233097536 is an abundant number, since it is smaller than the sum of its proper divisors (395621139648).

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

133233097536 is a wasteful number, since it uses less digits than its factorization.

133233097536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 45.

The spelling of 133233097536 in words is "one hundred thirty-three billion, two hundred thirty-three million, ninety-seven thousand, five hundred thirty-six".