132906644640 has 1536 divisors, whose sum is σ = 646913433600. Its totient is φ = 24604508160.

The previous prime is 132906644617. The next prime is 132906644701. The reversal of 132906644640 is 46446609231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 107442102 + ... + 107443338.

It is an arithmetic number, because the mean of its divisors is an integer number (421167600).

Almost surely, 2^132906644640 is an apocalyptic number.

132906644640 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 132906644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323456716800).

132906644640 is an abundant number, since it is smaller than the sum of its proper divisors (514006788960).

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

132906644640 is a wasteful number, since it uses less digits than its factorization.

132906644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 132906644640 in words is "one hundred thirty-two billion, nine hundred six million, six hundred forty-four thousand, six hundred forty".