133785600 has 288 divisors, whose sum is σ = 483406560. Its totient is φ = 32440320.

The previous prime is 133785577. The next prime is 133785623. The reversal of 133785600 is 6587331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133785577) and next prime (133785623).

It is a congruent number.

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, 1996767 + ... + 1996833.

It is an arithmetic number, because the mean of its divisors is an integer number (1678495).

Almost surely, 2^133785600 is an apocalyptic number.

133785600 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 133785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241703280).

133785600 is an abundant number, since it is smaller than the sum of its proper divisors (349620960).

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

133785600 is a wasteful number, since it uses less digits than its factorization.

133785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 133785600 is about 11566.5725260338. The cubic root of 133785600 is about 511.4499300744.

The spelling of 133785600 in words is "one hundred thirty-three million, seven hundred eighty-five thousand, six hundred".