132567140160 has 2240 divisors, whose sum is σ = 627858739200. Its totient is φ = 26336378880.

The previous prime is 132567140117. The next prime is 132567140177. The reversal of 132567140160 is 61041765231.

132567140160 is a `hidden beast` number, since 1 + 32 + 567 + 1 + 4 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 3582895662 + ... + 3582895698.

It is an arithmetic number, because the mean of its divisors is an integer number (280294080).

Almost surely, 2^132567140160 is an apocalyptic number.

132567140160 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 132567140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313929369600).

132567140160 is an abundant number, since it is smaller than the sum of its proper divisors (495291599040).

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

132567140160 is a wasteful number, since it uses less digits than its factorization.

132567140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

132567140160 divided by its product of nonzero digits (30240) gives a palindrome (4383834).

The spelling of 132567140160 in words is "one hundred thirty-two billion, five hundred sixty-seven million, one hundred forty thousand, one hundred sixty".