37282482144 has 96 divisors (see below), whose sum is σ = 109523232000. Its totient is φ = 12338047872.

The previous prime is 37282482131. The next prime is 37282482151. The reversal of 37282482144 is 44128428273.

37282482144 is a `hidden beast` number, since 3 + 7 + 28 + 2 + 482 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 37282482144.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35124 + ... + 275315.

It is an arithmetic number, because the mean of its divisors is an integer number (1140867000).

Almost surely, 2^37282482144 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 37282482144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54761616000).

37282482144 is an abundant number, since it is smaller than the sum of its proper divisors (72240749856).

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

37282482144 is a wasteful number, since it uses less digits than its factorization.

37282482144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310597 (or 310583 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 37282482144 in words is "thirty-seven billion, two hundred eighty-two million, four hundred eighty-two thousand, one hundred forty-four".