133929600 has 192 divisors, whose sum is σ = 504402240. Its totient is φ = 30597120.

The previous prime is 133929571. The next prime is 133929611. The reversal of 133929600 is 6929331.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66204 + ... + 68196.

It is an arithmetic number, because the mean of its divisors is an integer number (2627095).

Almost surely, 2^133929600 is an apocalyptic number.

133929600 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 133929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252201120).

133929600 is an abundant number, since it is smaller than the sum of its proper divisors (370472640).

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

133929600 is a wasteful number, since it uses less digits than its factorization.

133929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 133929600 is about 11572.7956864364. The cubic root of 133929600 is about 511.6333638216.

The spelling of 133929600 in words is "one hundred thirty-three million, nine hundred twenty-nine thousand, six hundred".