132049938887040 has 256 divisors, whose sum is σ = 427692022732800. Its totient is φ = 34648906506240.

The previous prime is 132049938887033. The next prime is 132049938887047. The reversal of 132049938887040 is 40788839940231.

It is an interprime number because it is at equal distance from previous prime (132049938887033) and next prime (132049938887047).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132049938887047) 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 31 ways as a sum of consecutive naturals, for example, 42956605 + ... + 45927875.

It is an arithmetic number, because the mean of its divisors is an integer number (1670671963800).

Almost surely, 2^{132049938887040} is an apocalyptic number.

132049938887040 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 132049938887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213846011366400).

132049938887040 is an abundant number, since it is smaller than the sum of its proper divisors (295642083845760).

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

132049938887040 is a wasteful number, since it uses less digits than its factorization.

132049938887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971665 (or 2971653 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 132049938887040 in words is "one hundred thirty-two trillion, forty-nine billion, nine hundred thirty-eight million, eight hundred eighty-seven thousand, forty".