1370134080000 has 2400 divisors, whose sum is σ = 6148819248000. Its totient is φ = 292626432000.

The previous prime is 1370134079987. The next prime is 1370134080043. The reversal of 1370134080000 is 804310731.

It is a tau number, because it is divible by the number of its divisors (2400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18768959964 + ... + 18768960036.

It is an arithmetic number, because the mean of its divisors is an integer number (2562008020).

Almost surely, 2^{1370134080000} is an apocalyptic number.

1370134080000 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 1370134080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074409624000).

1370134080000 is an abundant number, since it is smaller than the sum of its proper divisors (4778685168000).

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

1370134080000 is an frugal number, since it uses more digits than its factorization.

1370134080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 1370134080000 its reverse (804310731), we get a palindrome (1370938390731).

The spelling of 1370134080000 in words is "one trillion, three hundred seventy billion, one hundred thirty-four million, eighty thousand".