133410016 has 48 divisors (see below), whose sum is σ = 279236160. Its totient is φ = 62525440.

The previous prime is 133409993. The next prime is 133410031. The reversal of 133410016 is 610014331.

It is a junction number, because it is equal to n+sod(n) for n = 133409975 and 133410002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234180 + ... + 234748.

It is an arithmetic number, because the mean of its divisors is an integer number (5817420).

Almost surely, 2^133410016 is an apocalyptic number.

133410016 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 133410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139618080).

133410016 is an abundant number, since it is smaller than the sum of its proper divisors (145826144).

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

133410016 is a wasteful number, since it uses less digits than its factorization.

133410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 133410016 is about 11550.3253633826. The cubic root of 133410016 is about 510.9708739110.

Adding to 133410016 its reverse (610014331), we get a palindrome (743424347).

The spelling of 133410016 in words is "one hundred thirty-three million, four hundred ten thousand, sixteen".