133216512 has 144 divisors (see below), whose sum is σ = 416877888. Its totient is φ = 37232640.

The previous prime is 133216511. The next prime is 133216549. The reversal of 133216512 is 215612331.

It is a super-2 number, since 2×133216512² = 35493278138892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133216511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109218 + ... + 110430.

Almost surely, 2^133216512 is an apocalyptic number.

133216512 is a gapful number since it is divisible by the number (12) 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 133216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208438944).

133216512 is an abundant number, since it is smaller than the sum of its proper divisors (283661376).

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

133216512 is a wasteful number, since it uses less digits than its factorization.

133216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1242 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 133216512 is about 11541.9457631718. The cubic root of 133216512 is about 510.7237091834.

Adding to 133216512 its reverse (215612331), we get a palindrome (348828843).

The spelling of 133216512 in words is "one hundred thirty-three million, two hundred sixteen thousand, five hundred twelve".