1005134320000 has 160 divisors (see below), whose sum is σ = 2504052290520. Its totient is φ = 401759232000.

The previous prime is 1005134319991. The next prime is 1005134320013. The reversal of 1005134320000 is 234315001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1005134320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133356232 + ... + 133363768.

Almost surely, 2^{1005134320000} is an apocalyptic number.

1005134320000 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 1005134320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252026145260).

1005134320000 is an abundant number, since it is smaller than the sum of its proper divisors (1498917970520).

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

1005134320000 is an frugal number, since it uses more digits than its factorization.

1005134320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 1005134320000 its reverse (234315001), we get a palindrome (1005368635001).

The spelling of 1005134320000 in words is "one trillion, five billion, one hundred thirty-four million, three hundred twenty thousand".