1305114135 has 64 divisors (see below), whose sum is σ = 2353857408. Its totient is φ = 613177344.

The previous prime is 1305114101. The next prime is 1305114143. The reversal of 1305114135 is 5314115031.

It is not a de Polignac number, because 1305114135 - 2¹⁰ = 1305113111 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380689 + ... + 384101.

It is an arithmetic number, because the mean of its divisors is an integer number (36779022).

Almost surely, 2^1305114135 is an apocalyptic number.

1305114135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1305114135 is a deficient number, since it is larger than the sum of its proper divisors (1048743273).

1305114135 is a wasteful number, since it uses less digits than its factorization.

1305114135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1305114135 is about 36126.3634344782. The cubic root of 1305114135 is about 1092.8221721233.

Adding to 1305114135 its reverse (5314115031), we get a palindrome (6619229166).

It can be divided in two parts, 1305 and 114135, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 1305114135 in words is "one billion, three hundred five million, one hundred fourteen thousand, one hundred thirty-five".