133845600 has 288 divisors, whose sum is σ = 515966976. Its totient is φ = 29491200.

The previous prime is 133845599. The next prime is 133845629. The reversal of 133845600 is 6548331.

133845600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 520672 + ... + 520928.

It is an arithmetic number, because the mean of its divisors is an integer number (1791552).

Almost surely, 2^133845600 is an apocalyptic number.

133845600 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 133845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257983488).

133845600 is an abundant number, since it is smaller than the sum of its proper divisors (382121376).

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

133845600 is a wasteful number, since it uses less digits than its factorization.

133845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 133845600 is about 11569.1659163485. The cubic root of 133845600 is about 511.5263767908.

The spelling of 133845600 in words is "one hundred thirty-three million, eight hundred forty-five thousand, six hundred".