132467287680 has 1024 divisors, whose sum is σ = 587312409600. Its totient is φ = 27471052800.

The previous prime is 132467287679. The next prime is 132467287717. The reversal of 132467287680 is 86782764231.

132467287680 is a `hidden beast` number, since 1 + 32 + 467 + 2 + 8 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95920590 + ... + 95921970.

It is an arithmetic number, because the mean of its divisors is an integer number (573547275).

Almost surely, 2^132467287680 is an apocalyptic number.

132467287680 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 132467287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293656204800).

132467287680 is an abundant number, since it is smaller than the sum of its proper divisors (454845121920).

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

132467287680 is a wasteful number, since it uses less digits than its factorization.

132467287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 132467287680 in words is "one hundred thirty-two billion, four hundred sixty-seven million, two hundred eighty-seven thousand, six hundred eighty".