1375301664 has 144 divisors (see below), whose sum is σ = 4347592704. Its totient is φ = 408844800.

The previous prime is 1375301657. The next prime is 1375301687. The reversal of 1375301664 is 4661035731.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 163809 + ... + 171999.

It is an arithmetic number, because the mean of its divisors is an integer number (30191616).

Almost surely, 2^1375301664 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 1375301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173796352).

1375301664 is an abundant number, since it is smaller than the sum of its proper divisors (2972291040).

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

1375301664 is a wasteful number, since it uses less digits than its factorization.

1375301664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1375301664 is about 37085.0598489473. The cubic root of 1375301664 is about 1112.0713599117.

The spelling of 1375301664 in words is "one billion, three hundred seventy-five million, three hundred one thousand, six hundred sixty-four".