1353761162128 has 20 divisors (see below), whose sum is σ = 2622947929740. Its totient is φ = 676871373824.

The previous prime is 1353761162123. The next prime is 1353761162189. The reversal of 1353761162128 is 8212611673531.

It can be written as a sum of positive squares in 2 ways, for example, as 884525202064 + 469235960064 = 940492^2 + 685008^2 .

It is not an unprimeable number, because it can be changed into a prime (1353761162123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 726876 + ... + 1798852.

It is an arithmetic number, because the mean of its divisors is an integer number (131147396487).

Almost surely, 2^{1353761162128} is an apocalyptic number.

It is an amenable number.

1353761162128 is a deficient number, since it is larger than the sum of its proper divisors (1269186767612).

1353761162128 is a wasteful number, since it uses less digits than its factorization.

1353761162128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150914 (or 1150908 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The spelling of 1353761162128 in words is "one trillion, three hundred fifty-three billion, seven hundred sixty-one million, one hundred sixty-two thousand, one hundred twenty-eight".