37142703314000 has 160 divisors (see below), whose sum is σ = 92742825626880. Its totient is φ = 14378430528000.

The previous prime is 37142703313921. The next prime is 37142703314011. The reversal of 37142703314000 is 41330724173.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7392845 + ... + 11355155.

It is an arithmetic number, because the mean of its divisors is an integer number (579642660168).

Almost surely, 2^{37142703314000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37142703314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46371412813440).

37142703314000 is an abundant number, since it is smaller than the sum of its proper divisors (55600122312880).

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

37142703314000 is a wasteful number, since it uses less digits than its factorization.

37142703314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962486 (or 3962470 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 37142703314000 in words is "thirty-seven trillion, one hundred forty-two billion, seven hundred three million, three hundred fourteen thousand".