132811486679040 has 832 divisors, whose sum is σ = 472201008362496. Its totient is φ = 31665753686016.

The previous prime is 132811486679017. The next prime is 132811486679057. The reversal of 132811486679040 is 40976684118231.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 3641346244 + ... + 3641382716.

Almost surely, 2^{132811486679040} is an apocalyptic number.

132811486679040 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 132811486679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236100504181248).

132811486679040 is an abundant number, since it is smaller than the sum of its proper divisors (339389521683456).

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

132811486679040 is a wasteful number, since it uses less digits than its factorization.

132811486679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36662 (or 36640 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 132811486679040 in words is "one hundred thirty-two trillion, eight hundred eleven billion, four hundred eighty-six million, six hundred seventy-nine thousand, forty".