133585424346 has 64 divisors (see below), whose sum is σ = 309833911296. Its totient is φ = 37947360000.

The previous prime is 133585424327. The next prime is 133585424353. The reversal of 133585424346 is 643424585331.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 133585424295 and 133585424304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44451 + ... + 518793.

It is an arithmetic number, because the mean of its divisors is an integer number (4841154864).

Almost surely, 2^133585424346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133585424346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154916955648).

133585424346 is an abundant number, since it is smaller than the sum of its proper divisors (176248486950).

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

133585424346 is a wasteful number, since it uses less digits than its factorization.

133585424346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474627.

The product of its digits is 4147200, while the sum is 48.

The spelling of 133585424346 in words is "one hundred thirty-three billion, five hundred eighty-five million, four hundred twenty-four thousand, three hundred forty-six".