132968310804 has 180 divisors, whose sum is σ = 406845974304. Its totient is φ = 37757137824.

The previous prime is 132968310799. The next prime is 132968310821. The reversal of 132968310804 is 408013869231.

132968310804 is a `hidden beast` number, since 1 + 329 + 6 + 8 + 310 + 8 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132968310804.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 2562097 + ... + 2613479.

Almost surely, 2^132968310804 is an apocalyptic number.

132968310804 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 132968310804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203422987152).

132968310804 is an abundant number, since it is smaller than the sum of its proper divisors (273877663500).

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

132968310804 is a wasteful number, since it uses less digits than its factorization.

132968310804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51576 (or 51558 counting only the distinct ones).

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

The spelling of 132968310804 in words is "one hundred thirty-two billion, nine hundred sixty-eight million, three hundred ten thousand, eight hundred four".