132907174272 has 320 divisors, whose sum is σ = 403293116160. Its totient is φ = 43619627520.

The previous prime is 132907174271. The next prime is 132907174297. The reversal of 132907174272 is 272471709231.

132907174272 is a `hidden beast` number, since 132 + 90 + 7 + 1 + 7 + 427 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132907174271) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 178878733 + ... + 178879475.

It is an arithmetic number, because the mean of its divisors is an integer number (1260290988).

Almost surely, 2^132907174272 is an apocalyptic number.

132907174272 is a gapful number since it is divisible by the number (12) 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 132907174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201646558080).

132907174272 is an abundant number, since it is smaller than the sum of its proper divisors (270385941888).

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

132907174272 is an frugal number, since it uses more digits than its factorization.

132907174272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 132907174272 in words is "one hundred thirty-two billion, nine hundred seven million, one hundred seventy-four thousand, two hundred seventy-two".