45519144 has 32 divisors (see below), whose sum is σ = 124143840. Its totient is φ = 13793600.

The previous prime is 45519119. The next prime is 45519151. The reversal of 45519144 is 44191554.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85947 + ... + 86474.

It is an arithmetic number, because the mean of its divisors is an integer number (3879495).

Almost surely, 2^45519144 is an apocalyptic number.

45519144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45519144 is an abundant number, since it is smaller than the sum of its proper divisors (78624696).

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

45519144 is a wasteful number, since it uses less digits than its factorization.

45519144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172441 (or 172437 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 45519144 is about 6746.7876800741. The cubic root of 45519144 is about 357.0519112580.

It can be divided in two parts, 4551 and 9144, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 45519144 in words is "forty-five million, five hundred nineteen thousand, one hundred forty-four".