132362496 has 216 divisors, whose sum is σ = 452786880. Its totient is φ = 36384768.

The previous prime is 132362449. The next prime is 132362537. The reversal of 132362496 is 694263231.

132362496 is a `hidden beast` number, since 1 + 3 + 23 + 624 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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.

Its product of digits (46656) is a multiple of the sum of its prime divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 132362496.

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, 467571 + ... + 467853.

Almost surely, 2^132362496 is an apocalyptic number.

132362496 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 132362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226393440).

132362496 is an abundant number, since it is smaller than the sum of its proper divisors (320424384).

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

132362496 is a wasteful number, since it uses less digits than its factorization.

132362496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

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

The square root of 132362496 is about 11504.8900907397. The cubic root of 132362496 is about 509.6299969116.

The spelling of 132362496 in words is "one hundred thirty-two million, three hundred sixty-two thousand, four hundred ninety-six".