273137242630144 has 96 divisors (see below), whose sum is σ = 564999704778600. Its totient is φ = 131853258915840.

The previous prime is 273137242630127. The next prime is 273137242630157. The reversal of 273137242630144 is 441036242731372.

It can be written as a sum of positive squares in 4 ways, for example, as 81542922732544 + 191594319897600 = 9030112^2 + 13841760^2 .

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 7 ways as a sum of consecutive naturals, for example, 1450317874 + ... + 1450506190.

Almost surely, 2^{273137242630144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273137242630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282499852389300).

273137242630144 is an abundant number, since it is smaller than the sum of its proper divisors (291862462148456).

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

273137242630144 is a wasteful number, since it uses less digits than its factorization.

273137242630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212789 (or 212769 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 49.

The spelling of 273137242630144 in words is "two hundred seventy-three trillion, one hundred thirty-seven billion, two hundred forty-two million, six hundred thirty thousand, one hundred forty-four".