132867440640 has 960 divisors, whose sum is σ = 531485982720. Its totient is φ = 31213486080.

The previous prime is 132867440609. The next prime is 132867440647. The reversal of 132867440640 is 46044768231.

132867440640 is a `hidden beast` number, since 132 + 8 + 6 + 74 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (132867440647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1046200257 + ... + 1046200383.

It is an arithmetic number, because the mean of its divisors is an integer number (553631232).

Almost surely, 2^132867440640 is an apocalyptic number.

132867440640 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 132867440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265742991360).

132867440640 is an abundant number, since it is smaller than the sum of its proper divisors (398618542080).

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

132867440640 is a wasteful number, since it uses less digits than its factorization.

132867440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 132867440640 in words is "one hundred thirty-two billion, eight hundred sixty-seven million, four hundred forty thousand, six hundred forty".