132314028912 has 360 divisors, whose sum is σ = 412581405600. Its totient is φ = 39551016960.

The previous prime is 132314028887. The next prime is 132314028919. The reversal of 132314028912 is 219820413231.

132314028912 is a `hidden beast` number, since 1 + 3 + 231 + 402 + 8 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132314028919) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126132964 + ... + 126134012.

It is an arithmetic number, because the mean of its divisors is an integer number (1146059460).

Almost surely, 2^132314028912 is an apocalyptic number.

132314028912 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 132314028912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206290702800).

132314028912 is an abundant number, since it is smaller than the sum of its proper divisors (280267376688).

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

132314028912 is a wasteful number, since it uses less digits than its factorization.

132314028912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 132314028912 in words is "one hundred thirty-two billion, three hundred fourteen million, twenty-eight thousand, nine hundred twelve".