133535005162416 has 240 divisors, whose sum is σ = 439103140100352. Its totient is φ = 37347665241600.

The previous prime is 133535005162409. The next prime is 133535005162451. The reversal of 133535005162416 is 614261500535331.

133535005162416 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 5 + 0 + 0 + 5 + 1 + 624 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161915421 + ... + 162738051.

Almost surely, 2^{133535005162416} is an apocalyptic number.

133535005162416 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 133535005162416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219551570050176).

133535005162416 is an abundant number, since it is smaller than the sum of its proper divisors (305568134937936).

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

133535005162416 is a wasteful number, since it uses less digits than its factorization.

133535005162416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830552 (or 830543 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

Adding to 133535005162416 its reverse (614261500535331), we get a palindrome (747796505697747).

The spelling of 133535005162416 in words is "one hundred thirty-three trillion, five hundred thirty-five billion, five million, one hundred sixty-two thousand, four hundred sixteen".