132709148160 has 320 divisors, whose sum is σ = 450166616064. Its totient is φ = 33236582400.

The previous prime is 132709148129. The next prime is 132709148203. The reversal of 132709148160 is 61841907231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-4 number, since 4×132709148160⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90216225 + ... + 90217695.

Almost surely, 2^132709148160 is an apocalyptic number.

132709148160 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 132709148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225083308032).

132709148160 is an abundant number, since it is smaller than the sum of its proper divisors (317457467904).

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

132709148160 is a wasteful number, since it uses less digits than its factorization.

132709148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 132709148160 in words is "one hundred thirty-two billion, seven hundred nine million, one hundred forty-eight thousand, one hundred sixty".