132463296 has 224 divisors, whose sum is σ = 456468480. Its totient is φ = 36882432.

The previous prime is 132463259. The next prime is 132463301. The reversal of 132463296 is 692364231.

132463296 is a `hidden beast` number, since 1 + 324 + 6 + 329 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 132463296.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568396 + ... + 568628.

Almost surely, 2^132463296 is an apocalyptic number.

132463296 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 132463296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

132463296 is an abundant number, since it is smaller than the sum of its proper divisors (324005184).

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

132463296 is a wasteful number, since it uses less digits than its factorization.

132463296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 132463296 is about 11509.2700029150. The cubic root of 132463296 is about 509.7593328147.

It can be divided in two parts, 1324 and 63296, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 132463296 in words is "one hundred thirty-two million, four hundred sixty-three thousand, two hundred ninety-six".