132805400348544 has 256 divisors, whose sum is σ = 440989244213760. Its totient is φ = 34402426675200.

The previous prime is 132805400348513. The next prime is 132805400348557. The reversal of 132805400348544 is 445843004508231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5008054 + ... + 17049674.

It is an arithmetic number, because the mean of its divisors is an integer number (1722614235210).

Almost surely, 2^{132805400348544} is an apocalyptic number.

132805400348544 is a gapful number since it is divisible by the number (14) 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 132805400348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220494622106880).

132805400348544 is an abundant number, since it is smaller than the sum of its proper divisors (308183843865216).

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

132805400348544 is a wasteful number, since it uses less digits than its factorization.

132805400348544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12042029 (or 12042017 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 51.

The spelling of 132805400348544 in words is "one hundred thirty-two trillion, eight hundred five billion, four hundred million, three hundred forty-eight thousand, five hundred forty-four".