132765567664 has 80 divisors (see below), whose sum is σ = 278983572480. Its totient is φ = 61005450240.

The previous prime is 132765567629. The next prime is 132765567689. The reversal of 132765567664 is 466765567231.

It is a junction number, because it is equal to n+sod(n) for n = 132765567599 and 132765567608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573429 + ... + 1655659.

It is an arithmetic number, because the mean of its divisors is an integer number (3487294656).

Almost surely, 2^132765567664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132765567664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139491786240).

132765567664 is an abundant number, since it is smaller than the sum of its proper divisors (146218004816).

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

132765567664 is a wasteful number, since it uses less digits than its factorization.

132765567664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82418 (or 82412 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 58.

The spelling of 132765567664 in words is "one hundred thirty-two billion, seven hundred sixty-five million, five hundred sixty-seven thousand, six hundred sixty-four".