45738144 has 144 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 14307840.

The previous prime is 45738131. The next prime is 45738163. The reversal of 45738144 is 44183754.

45738144 is a `hidden beast` number, since 4 + 573 + 81 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (53760) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 45738099 and 45738108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419562 + ... + 419670.

It is an arithmetic number, because the mean of its divisors is an integer number (960960).

Almost surely, 2^45738144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

45738144 is an abundant number, since it is smaller than the sum of its proper divisors (92640096).

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

45738144 is a wasteful number, since it uses less digits than its factorization.

45738144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 45738144 is about 6762.9981517076. The cubic root of 45738144 is about 357.6236069877.

The spelling of 45738144 in words is "forty-five million, seven hundred thirty-eight thousand, one hundred forty-four".