133229600 has 144 divisors (see below), whose sum is σ = 382350528. Its totient is φ = 44375040.

The previous prime is 133229557. The next prime is 133229617. The reversal of 133229600 is 6922331.

It is a self number, because there is not a number n which added to its sum of digits gives 133229600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206879 + ... + 207521.

It is an arithmetic number, because the mean of its divisors is an integer number (2655212).

Almost surely, 2^133229600 is an apocalyptic number.

133229600 is a gapful number since it is divisible by the number (10) 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 133229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191175264).

133229600 is an abundant number, since it is smaller than the sum of its proper divisors (249120928).

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

133229600 is a wasteful number, since it uses less digits than its factorization.

133229600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 133229600 is about 11542.5127247060. The cubic root of 133229600 is about 510.7404341697.

It can be divided in two parts, 13322 and 9600, that added together give a palindrome (22922).

The spelling of 133229600 in words is "one hundred thirty-three million, two hundred twenty-nine thousand, six hundred".