1461504132 has 72 divisors (see below), whose sum is σ = 4034476992. Its totient is φ = 442411200.

The previous prime is 1461504113. The next prime is 1461504133. The reversal of 1461504132 is 2314051641.

It is a happy number.

1461504132 is a `hidden beast` number, since 1 + 4 + 615 + 0 + 41 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1461504096 and 1461504105.

It is not an unprimeable number, because it can be changed into a prime (1461504133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631257 + ... + 633567.

Almost surely, 2^1461504132 is an apocalyptic number.

1461504132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1461504132 is an abundant number, since it is smaller than the sum of its proper divisors (2572972860).

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

1461504132 is a wasteful number, since it uses less digits than its factorization.

1461504132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1461504132 is about 38229.6237491294. The cubic root of 1461504132 is about 1134.8366398563.

Adding to 1461504132 its reverse (2314051641), we get a palindrome (3775555773).

The spelling of 1461504132 in words is "one billion, four hundred sixty-one million, five hundred four thousand, one hundred thirty-two".