3135132420240 has 80 divisors (see below), whose sum is σ = 9722526825600. Its totient is φ = 835724230656.

The previous prime is 3135132420191. The next prime is 3135132420247. The reversal of 3135132420240 is 420242315313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3135132420198 and 3135132420207.

It is not an unprimeable number, because it can be changed into a prime (3135132420247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783620 + ... + 3074339.

It is an arithmetic number, because the mean of its divisors is an integer number (121531585320).

Almost surely, 2^{3135132420240} is an apocalyptic number.

3135132420240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3135132420240 is an abundant number, since it is smaller than the sum of its proper divisors (6587394405360).

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

3135132420240 is a wasteful number, since it uses less digits than its factorization.

3135132420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860664 (or 4860658 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 3135132420240 its reverse (420242315313), we get a palindrome (3555374735553).

The spelling of 3135132420240 in words is "three trillion, one hundred thirty-five billion, one hundred thirty-two million, four hundred twenty thousand, two hundred forty".