3135152340 has 72 divisors (see below), whose sum is σ = 9665896968. Its totient is φ = 822332160.

The previous prime is 3135152309. The next prime is 3135152341. The reversal of 3135152340 is 432515313.

3135152340 is a `hidden beast` number, since 3 + 135 + 1 + 523 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 351112644 + 2784039696 = 18738^2 + 52764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135152341) 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, 131787 + ... + 153746.

It is an arithmetic number, because the mean of its divisors is an integer number (134248569).

Almost surely, 2^3135152340 is an apocalyptic number.

3135152340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3135152340 is an abundant number, since it is smaller than the sum of its proper divisors (6530744628).

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

3135152340 is a wasteful number, since it uses less digits than its factorization.

3135152340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285609 (or 285604 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3135152340 is about 55992.4310956401. The cubic root of 3135152340 is about 1463.5903908716.

Adding to 3135152340 its reverse (432515313), we get a palindrome (3567667653).

The spelling of 3135152340 in words is "three billion, one hundred thirty-five million, one hundred fifty-two thousand, three hundred forty".