1460135712 has 432 divisors, whose sum is σ = 5134842720. Its totient is φ = 359976960.

The previous prime is 1460135701. The next prime is 1460135753. The reversal of 1460135712 is 2175310641.

It is a self number, because there is not a number n which added to its sum of digits gives 1460135712.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47101137 + ... + 47101167.

It is an arithmetic number, because the mean of its divisors is an integer number (11886210).

Almost surely, 2^1460135712 is an apocalyptic number.

1460135712 is a gapful number since it is divisible by the number (12) 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 1460135712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567421360).

1460135712 is an abundant number, since it is smaller than the sum of its proper divisors (3674707008).

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

1460135712 is a wasteful number, since it uses less digits than its factorization.

1460135712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1460135712 is about 38211.7221805037. The cubic root of 1460135712 is about 1134.4823431998.

The spelling of 1460135712 in words is "one billion, four hundred sixty million, one hundred thirty-five thousand, seven hundred twelve".