132068912795904 has 288 divisors, whose sum is σ = 409431454064640. Its totient is φ = 37009131134976.

The previous prime is 132068912795849. The next prime is 132068912795917. The reversal of 132068912795904 is 409597219860231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833905077 + ... + 834063435.

It is an arithmetic number, because the mean of its divisors is an integer number (1421636993280).

It is a 2-persistent number, because it is pandigital, and so is 2⋅132068912795904 = 264137825591808, but 3⋅132068912795904 = 396206738387712 is not.

Almost surely, 2^{132068912795904} is an apocalyptic number.

132068912795904 is a gapful number since it is divisible by the number (14) 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 132068912795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204715727032320).

132068912795904 is an abundant number, since it is smaller than the sum of its proper divisors (277362541268736).

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

132068912795904 is a wasteful number, since it uses less digits than its factorization.

132068912795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161365 (or 161351 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 132068912795904 in words is "one hundred thirty-two trillion, sixty-eight billion, nine hundred twelve million, seven hundred ninety-five thousand, nine hundred four".