132414845808 has 120 divisors (see below), whose sum is σ = 398129696640. Its totient is φ = 37812888960.

The previous prime is 132414845803. The next prime is 132414845813. The reversal of 132414845808 is 808548414231.

It is a happy number.

132414845808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132414845803) and next prime (132414845813).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132414845803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4781923 + ... + 4809533.

It is an arithmetic number, because the mean of its divisors is an integer number (3317747472).

Almost surely, 2^132414845808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132414845808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199064848320).

132414845808 is an abundant number, since it is smaller than the sum of its proper divisors (265714850832).

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

132414845808 is a wasteful number, since it uses less digits than its factorization.

132414845808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29675 (or 29662 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 132414845808 in words is "one hundred thirty-two billion, four hundred fourteen million, eight hundred forty-five thousand, eight hundred eight".