1370146800096 has 144 divisors (see below), whose sum is σ = 4007848965120. Its totient is φ = 443757968640.

The previous prime is 1370146800083. The next prime is 1370146800097. The reversal of 1370146800096 is 6900086410731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370146800097) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2075715 + ... + 2654973.

It is an arithmetic number, because the mean of its divisors is an integer number (27832284480).

Almost surely, 2^{1370146800096} is an apocalyptic number.

1370146800096 is a gapful number since it is divisible by the number (16) 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 1370146800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003924482560).

1370146800096 is an abundant number, since it is smaller than the sum of its proper divisors (2637702165024).

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

1370146800096 is a wasteful number, since it uses less digits than its factorization.

1370146800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579509 (or 579498 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1370146800096 in words is "one trillion, three hundred seventy billion, one hundred forty-six million, eight hundred thousand, ninety-six".