132768692784 has 800 divisors, whose sum is σ = 502050644480. Its totient is φ = 32893599744.

The previous prime is 132768692761. The next prime is 132768692789. The reversal of 132768692784 is 487296867231.

132768692784 is a `hidden beast` number, since 13 + 276 + 86 + 9 + 278 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132768692789) 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 159 ways as a sum of consecutive naturals, for example, 432471159 + ... + 432471465.

Almost surely, 2^132768692784 is an apocalyptic number.

132768692784 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 132768692784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251025322240).

132768692784 is an abundant number, since it is smaller than the sum of its proper divisors (369281951696).

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

132768692784 is a wasteful number, since it uses less digits than its factorization.

132768692784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 132768692784 in words is "one hundred thirty-two billion, seven hundred sixty-eight million, six hundred ninety-two thousand, seven hundred eighty-four".