132259754880 has 640 divisors, whose sum is σ = 527922632160. Its totient is φ = 31275417600.

The previous prime is 132259754863. The next prime is 132259754953. The reversal of 132259754880 is 88457952231.

132259754880 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 97 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 23377012 + ... + 23382668.

Almost surely, 2^132259754880 is an apocalyptic number.

132259754880 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 132259754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263961316080).

132259754880 is an abundant number, since it is smaller than the sum of its proper divisors (395662877280).

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

132259754880 is a wasteful number, since it uses less digits than its factorization.

132259754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 132259754880 in words is "one hundred thirty-two billion, two hundred fifty-nine million, seven hundred fifty-four thousand, eight hundred eighty".