45585144 has 48 divisors (see below), whose sum is σ = 134685720. Its totient is φ = 13813440.

The previous prime is 45585139. The next prime is 45585151. The reversal of 45585144 is 44158554.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 45585099 and 45585108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27987 + ... + 29570.

Almost surely, 2^45585144 is an apocalyptic number.

45585144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45585144 is an abundant number, since it is smaller than the sum of its proper divisors (89100576).

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

45585144 is a wasteful number, since it uses less digits than its factorization.

45585144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57580 (or 57573 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 45585144 is about 6751.6771249816. The cubic root of 45585144 is about 357.2243957979.

The spelling of 45585144 in words is "forty-five million, five hundred eighty-five thousand, one hundred forty-four".