1465305137 has 18 divisors (see below), whose sum is σ = 1616858082. Its totient is φ = 1327654944.

The previous prime is 1465305133. The next prime is 1465305161. The reversal of 1465305137 is 7315035641.

It can be written as a sum of positive squares in only one way, i.e., 1315585441 + 149719696 = 36271^2 + 12236^2 .

It is not a de Polignac number, because 1465305137 - 2² = 1465305133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1465305097 and 1465305106.

It is not an unprimeable number, because it can be changed into a prime (1465305131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 187133 + ... + 194805.

It is an arithmetic number, because the mean of its divisors is an integer number (89825449).

Almost surely, 2^1465305137 is an apocalyptic number.

It is an amenable number.

1465305137 is a deficient number, since it is larger than the sum of its proper divisors (151552945).

1465305137 is an equidigital number, since it uses as much as digits as its factorization.

1465305137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7757 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 1465305137 is about 38279.3042909612. The cubic root of 1465305137 is about 1135.8195965198.

The spelling of 1465305137 in words is "one billion, four hundred sixty-five million, three hundred five thousand, one hundred thirty-seven".