133000224 has 96 divisors (see below), whose sum is σ = 407586816. Its totient is φ = 37182720.

The previous prime is 133000211. The next prime is 133000229. The reversal of 133000224 is 422000331.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (133000229) 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, 29479 + ... + 33689.

It is an arithmetic number, because the mean of its divisors is an integer number (4245696).

Almost surely, 2^133000224 is an apocalyptic number.

133000224 is a gapful number since it is divisible by the number (14) 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 133000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

133000224 is an abundant number, since it is smaller than the sum of its proper divisors (274586592).

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

133000224 is a wasteful number, since it uses less digits than its factorization.

133000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 133000224 is about 11532.5723062984. The cubic root of 133000224 is about 510.4471587667.

Adding to 133000224 its reverse (422000331), we get a palindrome (555000555).

The spelling of 133000224 in words is "one hundred thirty-three million, two hundred twenty-four", and thus it is an aban number.