133748920224 has 96 divisors (see below), whose sum is σ = 391655839680. Its totient is φ = 44405280000.

The previous prime is 133748920187. The next prime is 133748920237. The reversal of 133748920224 is 422029847331.

133748920224 is a `hidden beast` number, since 1 + 337 + 4 + 8 + 92 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×133748920224² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133748920224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91507 + ... + 525234.

It is an arithmetic number, because the mean of its divisors is an integer number (4079748330).

Almost surely, 2^133748920224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133748920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195827919840).

133748920224 is an abundant number, since it is smaller than the sum of its proper divisors (257906919456).

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

133748920224 is a wasteful number, since it uses less digits than its factorization.

133748920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617011 (or 616997 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 133748920224 in words is "one hundred thirty-three billion, seven hundred forty-eight million, nine hundred twenty thousand, two hundred twenty-four".