1369139200 has 432 divisors, whose sum is σ = 4254688620. Its totient is φ = 432537600.

The previous prime is 1369139179. The next prime is 1369139203. The reversal of 1369139200 is 29319631.

It can be written as a sum of positive squares in 6 ways, for example, as 431309824 + 937829376 = 20768^2 + 30624^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1369139203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80537592 + ... + 80537608.

Almost surely, 2^1369139200 is an apocalyptic number.

1369139200 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 1369139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127344310).

1369139200 is an abundant number, since it is smaller than the sum of its proper divisors (2885549420).

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

1369139200 is a wasteful number, since it uses less digits than its factorization.

1369139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 1369139200 is about 37001.8810332664. The cubic root of 1369139200 is about 1110.4078797537.

The spelling of 1369139200 in words is "one billion, three hundred sixty-nine million, one hundred thirty-nine thousand, two hundred".