1153142431104 has 128 divisors (see below), whose sum is σ = 3244673203200. Its totient is φ = 361607307264.

The previous prime is 1153142431009. The next prime is 1153142431117. The reversal of 1153142431104 is 4011342413511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14890917 + ... + 14968155.

It is an arithmetic number, because the mean of its divisors is an integer number (25349009400).

Almost surely, 2^{1153142431104} 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 1153142431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622336601600).

1153142431104 is an abundant number, since it is smaller than the sum of its proper divisors (2091530772096).

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

1153142431104 is a wasteful number, since it uses less digits than its factorization.

1153142431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79560 (or 79548 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1153142431104 its reverse (4011342413511), we get a palindrome (5164484844615).

The spelling of 1153142431104 in words is "one trillion, one hundred fifty-three billion, one hundred forty-two million, four hundred thirty-one thousand, one hundred four".