1349365140 has 144 divisors (see below), whose sum is σ = 4405499280. Its totient is φ = 333066240.

The previous prime is 1349365133. The next prime is 1349365141. The reversal of 1349365140 is 415639431.

1349365140 is a `hidden beast` number, since 134 + 9 + 3 + 6 + 514 + 0 = 666.

1349365140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27751824 + 1321613316 = 5268^2 + 36354^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1349365095 and 1349365104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349365141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183046 + ... + 190274.

It is an arithmetic number, because the mean of its divisors is an integer number (30593745).

Almost surely, 2^1349365140 is an apocalyptic number.

1349365140 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 1349365140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202749640).

1349365140 is an abundant number, since it is smaller than the sum of its proper divisors (3056134140).

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

1349365140 is a wasteful number, since it uses less digits than its factorization.

1349365140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1349365140 is about 36733.7057754864. The cubic root of 1349365140 is about 1105.0361747062.

The spelling of 1349365140 in words is "one billion, three hundred forty-nine million, three hundred sixty-five thousand, one hundred forty".