137986304 has 18 divisors (see below), whose sum is σ = 275434110. Its totient is φ = 68993024.

The previous prime is 137986271. The next prime is 137986327. The reversal of 137986304 is 403689731.

It can be written as a sum of positive squares in only one way, i.e., 135675904 + 2310400 = 11648^2 + 1520^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 269249 + ... + 269760.

It is an arithmetic number, because the mean of its divisors is an integer number (15301895).

Almost surely, 2^137986304 is an apocalyptic number.

It is an amenable number.

137986304 is a deficient number, since it is larger than the sum of its proper divisors (137447806).

137986304 is an frugal number, since it uses more digits than its factorization.

137986304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539025 (or 539011 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 137986304 is about 11746.7571695341. The cubic root of 137986304 is about 516.7478289886.

It can be divided in two parts, 13798 and 6304, that added together give a palindrome (20102).

The spelling of 137986304 in words is "one hundred thirty-seven million, nine hundred eighty-six thousand, three hundred four".