1375387104 has 192 divisors, whose sum is σ = 4466617344. Its totient is φ = 360861696.

The previous prime is 1375387103. The next prime is 1375387109. The reversal of 1375387104 is 4017835731.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375387103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2734117 + ... + 2734619.

It is an arithmetic number, because the mean of its divisors is an integer number (23263632).

Almost surely, 2^1375387104 is an apocalyptic number.

1375387104 is a gapful number since it is divisible by the number (14) 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 1375387104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233308672).

1375387104 is an abundant number, since it is smaller than the sum of its proper divisors (3091230240).

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

1375387104 is a wasteful number, since it uses less digits than its factorization.

1375387104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 1375387104 is about 37086.2117774248. The cubic root of 1375387104 is about 1112.0943884132.

The spelling of 1375387104 in words is "one billion, three hundred seventy-five million, three hundred eighty-seven thousand, one hundred four".