132085080 has 192 divisors, whose sum is σ = 452874240. Its totient is φ = 34618752.

The previous prime is 132085049. The next prime is 132085081. The reversal of 132085080 is 80580231.

132085080 = 6² + 7² + ... + 734².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132085081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039977 + ... + 1040103.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^132085080 is an apocalyptic number.

132085080 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 132085080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

132085080 is an abundant number, since it is smaller than the sum of its proper divisors (320789160).

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

132085080 is a wasteful number, since it uses less digits than its factorization.

132085080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 132085080 is about 11492.8273283818. The cubic root of 132085080 is about 509.2737066577.

The spelling of 132085080 in words is "one hundred thirty-two million, eighty-five thousand, eighty".