133202324000400 has 120 divisors (see below), whose sum is σ = 449148889074720. Its totient is φ = 33651113425920.

The previous prime is 133202324000399. The next prime is 133202324000411. The reversal of 133202324000400 is 4000423202331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2921080797 + ... + 2921126396.

It is an arithmetic number, because the mean of its divisors is an integer number (3742907408956).

Almost surely, 2^{133202324000400} is an apocalyptic number.

133202324000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133202324000400 is an abundant number, since it is smaller than the sum of its proper divisors (315946565074320).

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

133202324000400 is a wasteful number, since it uses less digits than its factorization.

133202324000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842207233 (or 5842207222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 133202324000400 its reverse (4000423202331), we get a palindrome (137202747202731).

The spelling of 133202324000400 in words is "one hundred thirty-three trillion, two hundred two billion, three hundred twenty-four million, four hundred", and thus it is an aban number.