133347816 has 192 divisors, whose sum is σ = 442411200. Its totient is φ = 37086336.

The previous prime is 133347803. The next prime is 133347839. The reversal of 133347816 is 618743331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 454966 + ... + 455258.

It is an arithmetic number, because the mean of its divisors is an integer number (2304225).

Almost surely, 2^133347816 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 133347816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221205600).

133347816 is an abundant number, since it is smaller than the sum of its proper divisors (309063384).

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

133347816 is a wasteful number, since it uses less digits than its factorization.

133347816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 348 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 133347816 is about 11547.6324846264. The cubic root of 133347816 is about 510.8914512661.

The spelling of 133347816 in words is "one hundred thirty-three million, three hundred forty-seven thousand, eight hundred sixteen".