133120413597600 has 1152 divisors, whose sum is σ = 568052754796800. Its totient is φ = 29661172531200.

The previous prime is 133120413597583. The next prime is 133120413597601. The reversal of 133120413597600 is 6795314021331.

133120413597600 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 0 + 4 + 1 + 35 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (133120413597601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 719597916 + ... + 719782884.

It is an arithmetic number, because the mean of its divisors is an integer number (493101349650).

Almost surely, 2^{133120413597600} is an apocalyptic number.

133120413597600 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 133120413597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284026377398400).

133120413597600 is an abundant number, since it is smaller than the sum of its proper divisors (434932341199200).

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

133120413597600 is a wasteful number, since it uses less digits than its factorization.

133120413597600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185255 (or 185236 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 133120413597600 in words is "one hundred thirty-three trillion, one hundred twenty billion, four hundred thirteen million, five hundred ninety-seven thousand, six hundred".