1375688200 has 48 divisors (see below), whose sum is σ = 3207802500. Its totient is φ = 548670720.

The previous prime is 1375688189. The next prime is 1375688203. The reversal of 1375688200 is 28865731.

It can be written as a sum of positive squares in 6 ways, for example, as 667808964 + 707879236 = 25842^2 + 26606^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1375688203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59946 + ... + 79654.

Almost surely, 2^1375688200 is an apocalyptic number.

1375688200 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 1375688200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603901250).

1375688200 is an abundant number, since it is smaller than the sum of its proper divisors (1832114300).

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

1375688200 is a wasteful number, since it uses less digits than its factorization.

1375688200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20074 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1375688200 is about 37090.2709615338. The cubic root of 1375688200 is about 1112.1755347173.

The spelling of 1375688200 in words is "one billion, three hundred seventy-five million, six hundred eighty-eight thousand, two hundred".