133410816 has 312 divisors, whose sum is σ = 490673664. Its totient is φ = 33914880.

The previous prime is 133410803. The next prime is 133410839. The reversal of 133410816 is 618014331.

It is a self number, because there is not a number n which added to its sum of digits gives 133410816.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838505 + ... + 2838551.

It is an arithmetic number, because the mean of its divisors is an integer number (1572672).

Almost surely, 2^133410816 is an apocalyptic number.

133410816 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 133410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245336832).

133410816 is an abundant number, since it is smaller than the sum of its proper divisors (357262848).

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

133410816 is a wasteful number, since it uses less digits than its factorization.

133410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 133410816 is about 11550.3599943898. The cubic root of 133410816 is about 510.9718952633.

The spelling of 133410816 in words is "one hundred thirty-three million, four hundred ten thousand, eight hundred sixteen".