132528167863104 has 224 divisors, whose sum is σ = 378263520230400. Its totient is φ = 40708469587968.

The previous prime is 132528167863087. The next prime is 132528167863159. The reversal of 132528167863104 is 401368761825231.

It is a happy number.

It is a super-3 number, since 3×132528167863104³ (a number of 43 digits) contains 333 as substring.

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, 14952964977 + ... + 14952973839.

It is an arithmetic number, because the mean of its divisors is an integer number (1688676429600).

Almost surely, 2^{132528167863104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132528167863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189131760115200).

132528167863104 is an abundant number, since it is smaller than the sum of its proper divisors (245735352367296).

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

132528167863104 is a wasteful number, since it uses less digits than its factorization.

132528167863104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18417 (or 18407 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 132528167863104 in words is "one hundred thirty-two trillion, five hundred twenty-eight billion, one hundred sixty-seven million, eight hundred sixty-three thousand, one hundred four".