133449315199200 has 2304 divisors, whose sum is σ = 686143264020480. Its totient is φ = 24090918912000.

The previous prime is 133449315199169. The next prime is 133449315199241. The reversal of 133449315199200 is 2991513944331.

133449315199200 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 4 + 9 + 31 + 519 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 367385670 + ... + 367748730.

It is an arithmetic number, because the mean of its divisors is an integer number (297805236120).

Almost surely, 2^{133449315199200} is an apocalyptic number.

133449315199200 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 133449315199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343071632010240).

133449315199200 is an abundant number, since it is smaller than the sum of its proper divisors (552693948821280).

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

133449315199200 is a wasteful number, since it uses less digits than its factorization.

133449315199200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363138 (or 363119 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 133449315199200 in words is "one hundred thirty-three trillion, four hundred forty-nine billion, three hundred fifteen million, one hundred ninety-nine thousand, two hundred".