132059182123008 has 864 divisors, whose sum is σ = 466362006364800. Its totient is φ = 35254772563968.

The previous prime is 132059182122937. The next prime is 132059182123009. The reversal of 132059182123008 is 800321281950231.

132059182123008 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 591 + 8 + 21 + 2 + 30 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (132059182123009) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3400150053 + ... + 3400188891.

It is an arithmetic number, because the mean of its divisors is an integer number (539770840700).

Almost surely, 2^{132059182123008} is an apocalyptic number.

132059182123008 is a gapful number since it is divisible by the number (18) 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 132059182123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233181003182400).

132059182123008 is an abundant number, since it is smaller than the sum of its proper divisors (334302824241792).

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

132059182123008 is a wasteful number, since it uses less digits than its factorization.

132059182123008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38985 (or 38943 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 132059182123008 in words is "one hundred thirty-two trillion, fifty-nine billion, one hundred eighty-two million, one hundred twenty-three thousand, eight".