132463728 has 120 divisors (see below), whose sum is σ = 404282160. Its totient is φ = 41518080.

The previous prime is 132463717. The next prime is 132463733. The reversal of 132463728 is 827364231.

It is a happy number.

132463728 is a `hidden beast` number, since 13 + 2 + 4 + 637 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132463692 and 132463701.

It is a congruent number.

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, 124318 + ... + 125378.

It is an arithmetic number, because the mean of its divisors is an integer number (3369018).

Almost surely, 2^132463728 is an apocalyptic number.

132463728 is a gapful number since it is divisible by the number (18) 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 132463728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202141080).

132463728 is an abundant number, since it is smaller than the sum of its proper divisors (271818432).

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

132463728 is a wasteful number, since it uses less digits than its factorization.

132463728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1083 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 132463728 is about 11509.2887703802. The cubic root of 132463728 is about 509.7598869702.

The spelling of 132463728 in words is "one hundred thirty-two million, four hundred sixty-three thousand, seven hundred twenty-eight".