1461323136 has 512 divisors, whose sum is σ = 5264179200. Its totient is φ = 348364800.

The previous prime is 1461323113. The next prime is 1461323153. The reversal of 1461323136 is 6313231641.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20581981 + ... + 20582051.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2^1461323136 is an apocalyptic number.

1461323136 is a gapful number since it is divisible by the number (16) 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 1461323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632089600).

1461323136 is an abundant number, since it is smaller than the sum of its proper divisors (3802856064).

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

1461323136 is a wasteful number, since it uses less digits than its factorization.

1461323136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 1461323136 is about 38227.2564540015. The cubic root of 1461323136 is about 1134.7897910044.

Adding to 1461323136 its reverse (6313231641), we get a palindrome (7774554777).

The spelling of 1461323136 in words is "one billion, four hundred sixty-one million, three hundred twenty-three thousand, one hundred thirty-six".