132985616762880 has 3072 divisors, whose sum is σ = 584728574976000. Its totient is φ = 27996585984000.

The previous prime is 132985616762879. The next prime is 132985616762917. The reversal of 132985616762880 is 88267616589231.

132985616762880 is a `hidden beast` number, since 1 + 3 + 298 + 56 + 1 + 6 + 7 + 6 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 = 132985616762799 and 132985616762808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 226551305947 + ... + 226551306533.

It is an arithmetic number, because the mean of its divisors is an integer number (190341333000).

Almost surely, 2^{132985616762880} is an apocalyptic number.

132985616762880 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 132985616762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292364287488000).

132985616762880 is an abundant number, since it is smaller than the sum of its proper divisors (451742958213120).

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

132985616762880 is a wasteful number, since it uses less digits than its factorization.

132985616762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

It can be divided in two parts, 13298561 and 6762880, that added together give a square (20061441 = 4479²).

The spelling of 132985616762880 in words is "one hundred thirty-two trillion, nine hundred eighty-five billion, six hundred sixteen million, seven hundred sixty-two thousand, eight hundred eighty".