133082611200 has 1200 divisors, whose sum is σ = 614454850944. Its totient is φ = 27636940800.

The previous prime is 133082611187. The next prime is 133082611213. The reversal of 133082611200 is 2116280331.

It is a happy number.

133082611200 is a `hidden beast` number, since 13 + 30 + 8 + 2 + 611 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133082611187) and next prime (133082611213).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79832767 + ... + 79834433.

Almost surely, 2^133082611200 is an apocalyptic number.

133082611200 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 133082611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307227425472).

133082611200 is an abundant number, since it is smaller than the sum of its proper divisors (481372239744).

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

133082611200 is a wasteful number, since it uses less digits than its factorization.

133082611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 133082611200 its reverse (2116280331), we get a palindrome (135198891531).

The spelling of 133082611200 in words is "one hundred thirty-three billion, eighty-two million, six hundred eleven thousand, two hundred".