133707216 has 80 divisors (see below), whose sum is σ = 362833920. Its totient is φ = 42372480.

The previous prime is 133707209. The next prime is 133707269. The reversal of 133707216 is 612707331.

It is a super-2 number, since 2×133707216² = 35755239220941312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87031 + ... + 88553.

It is an arithmetic number, because the mean of its divisors is an integer number (4535424).

Almost surely, 2^133707216 is an apocalyptic number.

133707216 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 133707216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181416960).

133707216 is an abundant number, since it is smaller than the sum of its proper divisors (229126704).

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

133707216 is a wasteful number, since it uses less digits than its factorization.

133707216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 133707216 is about 11563.1836446543. The cubic root of 133707216 is about 511.3500256421.

The spelling of 133707216 in words is "one hundred thirty-three million, seven hundred seven thousand, two hundred sixteen".