132545017920 has 672 divisors, whose sum is σ = 515627965440. Its totient is φ = 28251095040.

The previous prime is 132545017919. The next prime is 132545017949. The reversal of 132545017920 is 29710545231.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×132545017920² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269948875 + ... + 269949365.

It is an arithmetic number, because the mean of its divisors is an integer number (767303520).

Almost surely, 2^132545017920 is an apocalyptic number.

132545017920 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 132545017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257813982720).

132545017920 is an abundant number, since it is smaller than the sum of its proper divisors (383082947520).

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

132545017920 is a wasteful number, since it uses less digits than its factorization.

132545017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 132545017920 in words is "one hundred thirty-two billion, five hundred forty-five million, seventeen thousand, nine hundred twenty".