45149085 has 36 divisors (see below), whose sum is σ = 81117972. Its totient is φ = 23229696.

The previous prime is 45149063. The next prime is 45149087. The reversal of 45149085 is 58094154.

It can be written as a sum of positive squares in 6 ways, for example, as 71289 + 45077796 = 267^2 + 6714^2 .

It is not a de Polignac number, because 45149085 - 2⁹ = 45148573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45149087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37249 + ... + 38441.

It is an arithmetic number, because the mean of its divisors is an integer number (2253277).

Almost surely, 2^45149085 is an apocalyptic number.

45149085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45149085 is a deficient number, since it is larger than the sum of its proper divisors (35968887).

45149085 is a wasteful number, since it uses less digits than its factorization.

45149085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 45149085 is about 6719.3068838981. The cubic root of 45149085 is about 356.0816970479.

The spelling of 45149085 in words is "forty-five million, one hundred forty-nine thousand, eighty-five".