3137140512 has 72 divisors (see below), whose sum is σ = 9732275280. Its totient is φ = 950647680.

The previous prime is 3137140463. The next prime is 3137140519. The reversal of 3137140512 is 2150417313.

3137140512 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 140 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3137140519) 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 11 ways as a sum of consecutive naturals, for example, 491962 + ... + 498297.

It is an arithmetic number, because the mean of its divisors is an integer number (135170490).

Almost surely, 2^3137140512 is an apocalyptic number.

3137140512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3137140512 is an abundant number, since it is smaller than the sum of its proper divisors (6595134768).

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

3137140512 is a wasteful number, since it uses less digits than its factorization.

3137140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990286 (or 990275 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3137140512 is about 56010.1822171648. The cubic root of 3137140512 is about 1463.8997064681.

Adding to 3137140512 its reverse (2150417313), we get a palindrome (5287557825).

The spelling of 3137140512 in words is "three billion, one hundred thirty-seven million, one hundred forty thousand, five hundred twelve".