133638300 has 108 divisors (see below), whose sum is σ = 424165560. Its totient is φ = 35187840.

The previous prime is 133638269. The next prime is 133638301. The reversal of 133638300 is 3836331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133638301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73806 + ... + 75594.

Almost surely, 2^133638300 is an apocalyptic number.

133638300 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 133638300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212082780).

133638300 is an abundant number, since it is smaller than the sum of its proper divisors (290527260).

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

133638300 is a wasteful number, since it uses less digits than its factorization.

133638300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 133638300 is about 11560.2032854098. The cubic root of 133638300 is about 511.2621564014.

The spelling of 133638300 in words is "one hundred thirty-three million, six hundred thirty-eight thousand, three hundred".