1463131152 has 120 divisors (see below), whose sum is σ = 4689759360. Its totient is φ = 417139200.

The previous prime is 1463131141. The next prime is 1463131169. The reversal of 1463131152 is 2511313641.

It is a happy number.

1463131152 is a `hidden beast` number, since 14 + 631 + 3 + 1 + 15 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572277 + ... + 574827.

It is an arithmetic number, because the mean of its divisors is an integer number (39081328).

Almost surely, 2^1463131152 is an apocalyptic number.

1463131152 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 1463131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344879680).

1463131152 is an abundant number, since it is smaller than the sum of its proper divisors (3226628208).

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

1463131152 is a wasteful number, since it uses less digits than its factorization.

1463131152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3132 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1463131152 is about 38250.8974012375. The cubic root of 1463131152 is about 1135.2576027816.

Adding to 1463131152 its reverse (2511313641), we get a palindrome (3974444793).

The spelling of 1463131152 in words is "one billion, four hundred sixty-three million, one hundred thirty-one thousand, one hundred fifty-two".