1351840128 has 64 divisors (see below), whose sum is σ = 3606740400. Its totient is φ = 448616448.

The previous prime is 1351840123. The next prime is 1351840141. The reversal of 1351840128 is 8210481531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351840121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80250 + ... + 95622.

Almost surely, 2^1351840128 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 1351840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803370200).

1351840128 is an abundant number, since it is smaller than the sum of its proper divisors (2254900272).

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

1351840128 is a wasteful number, since it uses less digits than its factorization.

1351840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15619 (or 15607 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1351840128 is about 36767.3785848271. The cubic root of 1351840128 is about 1105.7113763882.

The spelling of 1351840128 in words is "one billion, three hundred fifty-one million, eight hundred forty thousand, one hundred twenty-eight".