3145513140 has 288 divisors, whose sum is σ = 11996135424. Its totient is φ = 648103680.

The previous prime is 3145513139. The next prime is 3145513169. The reversal of 3145513140 is 413155413.

It is a happy number.

3145513140 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 513 + 140 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1759327 + ... + 1761113.

It is an arithmetic number, because the mean of its divisors is an integer number (41653248).

Almost surely, 2^3145513140 is an apocalyptic number.

3145513140 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 3145513140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998067712).

3145513140 is an abundant number, since it is smaller than the sum of its proper divisors (8850622284).

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

3145513140 is a wasteful number, since it uses less digits than its factorization.

3145513140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3145513140 is about 56084.8744315257. The cubic root of 3145513140 is about 1465.2008701571.

Adding to 3145513140 its reverse (413155413), we get a palindrome (3558668553).

The spelling of 3145513140 in words is "three billion, one hundred forty-five million, five hundred thirteen thousand, one hundred forty".