132765348096 has 108 divisors (see below), whose sum is σ = 382945460352. Its totient is φ = 44237749248.

The previous prime is 132765348091. The next prime is 132765348109. The reversal of 132765348096 is 690843567231.

132765348096 is a `hidden beast` number, since 1 + 3 + 2 + 76 + 5 + 3 + 480 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (132765348091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6733965 + ... + 6753651.

It is a 1-persistent number, because it is pandigital, but 2⋅132765348096 = 265530696192 is not.

Almost surely, 2^132765348096 is an apocalyptic number.

132765348096 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 132765348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191472730176).

132765348096 is an abundant number, since it is smaller than the sum of its proper divisors (250180112256).

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

132765348096 is a wasteful number, since it uses less digits than its factorization.

132765348096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22636 (or 22619 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 132765348096 in words is "one hundred thirty-two billion, seven hundred sixty-five million, three hundred forty-eight thousand, ninety-six".