132114134330240 has 128 divisors (see below), whose sum is σ = 316237692672000. Its totient is φ = 52778375331840.

The previous prime is 132114134330237. The next prime is 132114134330249. The reversal of 132114134330240 is 42033431411231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 132114134330197 and 132114134330206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114134330249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1709933210 + ... + 1710010470.

It is an arithmetic number, because the mean of its divisors is an integer number (2470606974000).

Almost surely, 2^{132114134330240} is an apocalyptic number.

132114134330240 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 132114134330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158118846336000).

132114134330240 is an abundant number, since it is smaller than the sum of its proper divisors (184123558341760).

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

132114134330240 is a wasteful number, since it uses less digits than its factorization.

132114134330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80648 (or 80636 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 132114134330240 its reverse (42033431411231), we get a palindrome (174147565741471).

The spelling of 132114134330240 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred thirty-four million, three hundred thirty thousand, two hundred forty".