132281805709800 has 384 divisors, whose sum is σ = 480242369664000. Its totient is φ = 33416143488000.

The previous prime is 132281805709733. The next prime is 132281805709813. The reversal of 132281805709800 is 8907508182231.

132281805709800 is a `hidden beast` number, since 1 + 32 + 28 + 18 + 0 + 570 + 9 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×132281805709800² (a number of 29 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 330825 + ... + 16268775.

It is an arithmetic number, because the mean of its divisors is an integer number (1250631171000).

Almost surely, 2^{132281805709800} is an apocalyptic number.

132281805709800 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 132281805709800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240121184832000).

132281805709800 is an abundant number, since it is smaller than the sum of its proper divisors (347960563954200).

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

132281805709800 is a wasteful number, since it uses less digits than its factorization.

132281805709800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15938058 (or 15938043 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 132281805709800 in words is "one hundred thirty-two trillion, two hundred eighty-one billion, eight hundred five million, seven hundred nine thousand, eight hundred".