3145136775000 has 576 divisors, whose sum is σ = 11081170759680. Its totient is φ = 737676000000.

The previous prime is 3145136774993. The next prime is 3145136775017. The reversal of 3145136775000 is 5776315413.

It is a super-3 number, since 3×3145136775000³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 792823017 + ... + 792826983.

It is an arithmetic number, because the mean of its divisors is an integer number (19238143680).

Almost surely, 2^{3145136775000} is an apocalyptic number.

3145136775000 is a gapful number since it is divisible by the number (30) 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 3145136775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540585379840).

3145136775000 is an abundant number, since it is smaller than the sum of its proper divisors (7936033984680).

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

3145136775000 is a wasteful number, since it uses less digits than its factorization.

3145136775000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 3145136775000 in words is "three trillion, one hundred forty-five billion, one hundred thirty-six million, seven hundred seventy-five thousand".