3135541540000 has 240 divisors, whose sum is σ = 8177076879048. Its totient is φ = 1179078656000.

The previous prime is 3135541539941. The next prime is 3135541540013. The reversal of 3135541540000 is 451455313.

It can be written as a sum of positive squares in 20 ways, for example, as 661678126096 + 2473863413904 = 813436^2 + 1572852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 324015162 + ... + 324024838.

Almost surely, 2^{3135541540000} 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 3135541540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088538439524).

3135541540000 is an abundant number, since it is smaller than the sum of its proper divisors (5041535339048).

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

3135541540000 is an equidigital number, since it uses as much as digits as its factorization.

3135541540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10677 (or 10654 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 3135541540000 its reverse (451455313), we get a palindrome (3135992995313).

The spelling of 3135541540000 in words is "three trillion, one hundred thirty-five billion, five hundred forty-one million, five hundred forty thousand".