132679305000 has 480 divisors, whose sum is σ = 518699712960. Its totient is φ = 30270720000.

The previous prime is 132679304993. The next prime is 132679305013. The reversal of 132679305000 is 503976231.

132679305000 is a `hidden beast` number, since 1 + 3 + 2 + 67 + 93 + 0 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8407117 + ... + 8422883.

It is an arithmetic number, because the mean of its divisors is an integer number (1080624402).

Almost surely, 2^132679305000 is an apocalyptic number.

132679305000 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 132679305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259349856480).

132679305000 is an abundant number, since it is smaller than the sum of its proper divisors (386020407960).

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

132679305000 is a wasteful number, since it uses less digits than its factorization.

132679305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15827 (or 15805 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 132679305000 in words is "one hundred thirty-two billion, six hundred seventy-nine million, three hundred five thousand".