133995600 has 240 divisors, whose sum is σ = 502795200. Its totient is φ = 33799680.

The previous prime is 133995557. The next prime is 133995629. The reversal of 133995600 is 6599331.

133995600 is a `hidden beast` number, since 1 + 3 + 3 + 99 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 204874 + ... + 205526.

It is an arithmetic number, because the mean of its divisors is an integer number (2094980).

Almost surely, 2^133995600 is an apocalyptic number.

133995600 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 133995600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251397600).

133995600 is an abundant number, since it is smaller than the sum of its proper divisors (368799600).

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

133995600 is a wasteful number, since it uses less digits than its factorization.

133995600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 133995600 is about 11575.6468501765. The cubic root of 133995600 is about 511.7173936817.

The spelling of 133995600 in words is "one hundred thirty-three million, nine hundred ninety-five thousand, six hundred".