1375145856 has 128 divisors (see below), whose sum is σ = 4638470400. Its totient is φ = 392891904.

The previous prime is 1375145851. The next prime is 1375145879. The reversal of 1375145856 is 6585415731.

1375145856 is a `hidden beast` number, since 1 + 37 + 514 + 58 + 56 = 666.

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

It is a super-2 number, since 2×1375145856² = 3782052250547945472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375145851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4230 + ... + 52613.

It is an arithmetic number, because the mean of its divisors is an integer number (36238050).

Almost surely, 2^1375145856 is an apocalyptic number.

1375145856 is a gapful number since it is divisible by the number (16) 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 1375145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319235200).

1375145856 is an abundant number, since it is smaller than the sum of its proper divisors (3263324544).

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

1375145856 is an equidigital number, since it uses as much as digits as its factorization.

1375145856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56873 (or 56855 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 1375145856 is about 37082.9591052278. The cubic root of 1375145856 is about 1112.0293627842.

The spelling of 1375145856 in words is "one billion, three hundred seventy-five million, one hundred forty-five thousand, eight hundred fifty-six".