132014963808 has 864 divisors, whose sum is σ = 489889161216. Its totient is φ = 34237292544.

The previous prime is 132014963803. The next prime is 132014963831. The reversal of 132014963808 is 808369410231.

132014963808 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 4 + 9 + 638 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132014963803) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1039487841 + ... + 1039487967.

It is an arithmetic number, because the mean of its divisors is an integer number (567001344).

Almost surely, 2^132014963808 is an apocalyptic number.

132014963808 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 132014963808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944580608).

132014963808 is an abundant number, since it is smaller than the sum of its proper divisors (357874197408).

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

132014963808 is a wasteful number, since it uses less digits than its factorization.

132014963808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 132014963808 in words is "one hundred thirty-two billion, fourteen million, nine hundred sixty-three thousand, eight hundred eight".