1375013760 has 128 divisors (see below), whose sum is σ = 4418150400. Its totient is φ = 363718656.

The previous prime is 1375013747. The next prime is 1375013779. The reversal of 1375013760 is 673105731.

1375013760 = 475² + 476² + ... + 1617².

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241021 + ... + 246659.

It is an arithmetic number, because the mean of its divisors is an integer number (34516800).

Almost surely, 2^1375013760 is an apocalyptic number.

1375013760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209075200).

1375013760 is an abundant number, since it is smaller than the sum of its proper divisors (3043136640).

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

1375013760 is a wasteful number, since it uses less digits than its factorization.

1375013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 1375013760 is about 37081.1779748163. The cubic root of 1375013760 is about 1111.9937546015.

The spelling of 1375013760 in words is "one billion, three hundred seventy-five million, thirteen thousand, seven hundred sixty".