37680145 has 8 divisors (see below), whose sum is σ = 45253800. Its totient is φ = 30119040.

The previous prime is 37680121. The next prime is 37680151. The reversal of 37680145 is 54108673.

37680145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18740241 + 18939904 = 4329^2 + 4352^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 37680145 - 2⁵ = 37680113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37680145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5781 + ... + 10429.

It is an arithmetic number, because the mean of its divisors is an integer number (5656725).

Almost surely, 2^37680145 is an apocalyptic number.

It is an amenable number.

37680145 is a deficient number, since it is larger than the sum of its proper divisors (7573655).

37680145 is a wasteful number, since it uses less digits than its factorization.

37680145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 37680145 is about 6138.4155121660. The cubic root of 37680145 is about 335.2515968415.

The spelling of 37680145 in words is "thirty-seven million, six hundred eighty thousand, one hundred forty-five".