133197600 has 288 divisors, whose sum is σ = 479969280. Its totient is φ = 31933440.

The previous prime is 133197593. The next prime is 133197611. The reversal of 133197600 is 6791331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048737 + ... + 1048863.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 2^133197600 is an apocalyptic number.

133197600 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 133197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

133197600 is an abundant number, since it is smaller than the sum of its proper divisors (346771680).

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

133197600 is a wasteful number, since it uses less digits than its factorization.

133197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 133197600 is about 11541.1264614855. The cubic root of 133197600 is about 510.6995398475.

The spelling of 133197600 in words is "one hundred thirty-three million, one hundred ninety-seven thousand, six hundred".