132071098992768 has 384 divisors, whose sum is σ = 416372710440960. Its totient is φ = 39934533427200.

The previous prime is 132071098992671. The next prime is 132071098992769. The reversal of 132071098992768 is 867299890170231.

132071098992768 is a `hidden beast` number, since 1 + 320 + 71 + 0 + 9 + 89 + 92 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 132071098992696 and 132071098992705.

It is not an unprimeable number, because it can be changed into a prime (132071098992769) 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 47 ways as a sum of consecutive naturals, for example, 1007564673 + ... + 1007695743.

It is an arithmetic number, because the mean of its divisors is an integer number (1084303933440).

Almost surely, 2^{132071098992768} is an apocalyptic number.

132071098992768 is a gapful number since it is divisible by the number (18) 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 132071098992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208186355220480).

132071098992768 is an abundant number, since it is smaller than the sum of its proper divisors (284301611448192).

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

132071098992768 is a wasteful number, since it uses less digits than its factorization.

132071098992768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132268 (or 132253 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 132071098992768 in words is "one hundred thirty-two trillion, seventy-one billion, ninety-eight million, nine hundred ninety-two thousand, seven hundred sixty-eight".