275132232144000 has 1536 divisors, whose sum is σ = 1277504263526400. Its totient is φ = 57170271744000.

The previous prime is 275132232143971. The next prime is 275132232144001. The reversal of 275132232144000 is 441232231572.

275132232144000 is a `hidden beast` number, since 2 + 7 + 5 + 1 + 3 + 2 + 232 + 14 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (275132232144001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298916491 + ... + 299835509.

It is an arithmetic number, because the mean of its divisors is an integer number (831708504900).

Almost surely, 2^{275132232144000} is an apocalyptic number.

275132232144000 is a gapful number since it is divisible by the number (20) 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 275132232144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638752131763200).

275132232144000 is an abundant number, since it is smaller than the sum of its proper divisors (1002372031382400).

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

275132232144000 is an equidigital number, since it uses as much as digits as its factorization.

275132232144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919081 (or 919047 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 275132232144000 its reverse (441232231572), we get a palindrome (275573464375572).

The spelling of 275132232144000 in words is "two hundred seventy-five trillion, one hundred thirty-two billion, two hundred thirty-two million, one hundred forty-four thousand".