115145953 has 6 divisors (see below), whose sum is σ = 124684854. Its totient is φ = 106288416.

The previous prime is 115145941. The next prime is 115146001. The reversal of 115145953 is 359541511.

It can be written as a sum of positive squares in 3 ways, for example, as 7463824 + 107682129 = 2732^2 + 10377^2 .

It is not a de Polignac number, because 115145953 - 2¹³ = 115137761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115145903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 340500 + ... + 340837.

It is an arithmetic number, because the mean of its divisors is an integer number (20780809).

Almost surely, 2^115145953 is an apocalyptic number.

115145953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

115145953 is a deficient number, since it is larger than the sum of its proper divisors (9538901).

115145953 is an equidigital number, since it uses as much as digits as its factorization.

115145953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681363 (or 681350 counting only the distinct ones).

The product of its digits is 13500, while the sum is 34.

The square root of 115145953 is about 10730.6082306643. The cubic root of 115145953 is about 486.5000540457.

The spelling of 115145953 in words is "one hundred fifteen million, one hundred forty-five thousand, nine hundred fifty-three".