132487085817000 has 768 divisors, whose sum is σ = 489806455057920. Its totient is φ = 32202745344000.

The previous prime is 132487085816923. The next prime is 132487085817007. The reversal of 132487085817000 is 718580784231.

132487085817000 is a `hidden beast` number, since 1 + 3 + 2 + 487 + 0 + 85 + 81 + 7 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×132487085817000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132487085817007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 364759482 + ... + 365122518.

It is an arithmetic number, because the mean of its divisors is an integer number (637768821690).

Almost surely, 2^{132487085817000} is an apocalyptic number.

132487085817000 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 132487085817000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244903227528960).

132487085817000 is an abundant number, since it is smaller than the sum of its proper divisors (357319369240920).

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

132487085817000 is a wasteful number, since it uses less digits than its factorization.

132487085817000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363171 (or 363154 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 132487085817000 in words is "one hundred thirty-two trillion, four hundred eighty-seven billion, eighty-five million, eight hundred seventeen thousand".