133690867200 has 1440 divisors, whose sum is σ = 566876217600. Its totient is φ = 30777753600.

The previous prime is 133690867133. The next prime is 133690867207. The reversal of 133690867200 is 2768096331.

133690867200 is a `hidden beast` number, since 1 + 3 + 369 + 0 + 86 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133690867207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 961804731 + ... + 961804869.

It is an arithmetic number, because the mean of its divisors is an integer number (393664040).

Almost surely, 2^133690867200 is an apocalyptic number.

133690867200 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 133690867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283438108800).

133690867200 is an abundant number, since it is smaller than the sum of its proper divisors (433185350400).

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

133690867200 is a wasteful number, since it uses less digits than its factorization.

133690867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 133690867200 in words is "one hundred thirty-three billion, six hundred ninety million, eight hundred sixty-seven thousand, two hundred".