243135233513144 has 128 divisors (see below), whose sum is σ = 526486624243200. Its totient is φ = 103106644623360.

The previous prime is 243135233513131. The next prime is 243135233513167. The reversal of 243135233513144 is 441315332531342.

It is a super-2 number, since 2×243135233513144² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243135233513095 and 243135233513104.

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, 28137391064 + ... + 28137399704.

It is an arithmetic number, because the mean of its divisors is an integer number (4113176751900).

Almost surely, 2^{243135233513144} 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 243135233513144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263243312121600).

243135233513144 is an abundant number, since it is smaller than the sum of its proper divisors (283351390730056).

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

243135233513144 is a wasteful number, since it uses less digits than its factorization.

243135233513144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13693 (or 13689 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 44.

The spelling of 243135233513144 in words is "two hundred forty-three trillion, one hundred thirty-five billion, two hundred thirty-three million, five hundred thirteen thousand, one hundred forty-four".