132427776000 has 512 divisors, whose sum is σ = 475186420800. Its totient is φ = 32558284800.

The previous prime is 132427775981. The next prime is 132427776017. The reversal of 132427776000 is 677724231.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 132427776000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159743586 + ... + 159744414.

Almost surely, 2^132427776000 is an apocalyptic number.

132427776000 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 132427776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237593210400).

132427776000 is an abundant number, since it is smaller than the sum of its proper divisors (342758644800).

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

132427776000 is an frugal number, since it uses more digits than its factorization.

132427776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 132427776000 in words is "one hundred thirty-two billion, four hundred twenty-seven million, seven hundred seventy-six thousand".