132131967552 has 224 divisors, whose sum is σ = 419691068160. Its totient is φ = 40523120640.

The previous prime is 132131967551. The next prime is 132131967557. The reversal of 132131967552 is 255769131231.

132131967552 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 1 + 96 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132131967498 and 132131967507.

It is not an unprimeable number, because it can be changed into a prime (132131967551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6976848 + ... + 6995760.

It is an arithmetic number, because the mean of its divisors is an integer number (1873620840).

Almost surely, 2^132131967552 is an apocalyptic number.

132131967552 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 132131967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209845534080).

132131967552 is an abundant number, since it is smaller than the sum of its proper divisors (287559100608).

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

132131967552 is a wasteful number, since it uses less digits than its factorization.

132131967552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19258 (or 19242 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The spelling of 132131967552 in words is "one hundred thirty-two billion, one hundred thirty-one million, nine hundred sixty-seven thousand, five hundred fifty-two".