132616765216 has 144 divisors (see below), whose sum is σ = 294776000064. Its totient is φ = 58372328448.

The previous prime is 132616765139. The next prime is 132616765243. The reversal of 132616765216 is 612567616231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29035765 + ... + 29040331.

It is an arithmetic number, because the mean of its divisors is an integer number (2047055556).

Almost surely, 2^132616765216 is an apocalyptic number.

132616765216 is a gapful number since it is divisible by the number (16) 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 132616765216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147388000032).

132616765216 is an abundant number, since it is smaller than the sum of its proper divisors (162159234848).

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

132616765216 is a wasteful number, since it uses less digits than its factorization.

132616765216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4694 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The spelling of 132616765216 in words is "one hundred thirty-two billion, six hundred sixteen million, seven hundred sixty-five thousand, two hundred sixteen".