132114201334240 has 96 divisors (see below), whose sum is σ = 318812032715904. Its totient is φ = 51712966717440.

The previous prime is 132114201334091. The next prime is 132114201334319. The reversal of 132114201334240 is 42433102411231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45338910 + ... + 48164770.

It is an arithmetic number, because the mean of its divisors is an integer number (3320958674124).

Almost surely, 2^{132114201334240} is an apocalyptic number.

132114201334240 is a gapful number since it is divisible by the number (10) 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 132114201334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159406016357952).

132114201334240 is an abundant number, since it is smaller than the sum of its proper divisors (186697831381664).

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

132114201334240 is a wasteful number, since it uses less digits than its factorization.

132114201334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832140 (or 2832132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 132114201334240 its reverse (42433102411231), we get a palindrome (174547303745471).

The spelling of 132114201334240 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred one million, three hundred thirty-four thousand, two hundred forty".